213223 (number)
213,223 (two hundred thirteen thousand two hundred twentythree) is an odd sixdigits prime number following 213222 and preceding 213224. In scientific notation, it is written as 2.13223 × 10^{5}. The sum of its digits is 13. It has a total of 1 prime factor and 2 positive divisors. There are 213,222 positive integers (up to 213223) that are relatively prime to 213223.
Basic properties
 Is Prime? Yes
 Number parity Odd
 Number length 6
 Sum of Digits 13
 Digital Root 4
Name
Short name  213 thousand 223 

Full name  two hundred thirteen thousand two hundred twentythree 
Notation
Scientific notation  2.13223 × 10^{5} 

Engineering notation  213.223 × 10^{3} 
Prime Factorization of 213223
Prime Factorization 213223
Prime numberω(n)  Distinct Factors  1  Total number of distinct prime factors 

Ω(n)  Total Factors  1  Total number of prime factors 
rad(n)  Radical  213223  Product of the distinct prime numbers 
λ(n)  Liouville Lambda  1  Returns the parity of Ω(n), such that λ(n) = (1)^{Ω(n)} 
μ(n)  Mobius Mu  1  Returns:

Λ(n)  Mangoldt function  12.27009384538  Returns log(p) if n is a power p^{k} of any prime p (for any k >= 1), else returns 0 
The prime factorization of 213,223 is 213223. Since it has a total of 1 prime factor, 213,223 is a prime number.
Divisors of 213223
2 divisors
τ(n)  Total Divisors  2  Total number of the positive divisors of n 

σ(n)  Sum of Divisors  213224  Sum of all the positive divisors of n 
s(n)  Aliquot Sum  1  Sum of the proper positive divisors of n 
A(n)  Arithmetic Mean  106612  Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n)) 
G(n)  Geometric Mean  461.76076056763  Returns the nth root of the product of n divisors 
H(n)  Harmonic Mean  1.9999906201928  Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors 
The number 213,223 can be divided by 2 positive divisors (out of which 0 are even, and 2 are odd). The sum of these divisors (counting 213,223) is 213,224, the average is 106,612.
Other Arithmetic Functions (n = 213223)
φ(n)  Euler Totient  213222  Total number of positive integers not greater than n that are coprime to n 

λ(n)  Carmichael Lambda  213222  Smallest positive number such that a^{λ(n)} ≡ 1 (mod n) for all a coprime to n 
π(n)  Prime Pi  ≈ 19012  Total number of primes less than or equal to n 
r_{2}(n)  Sum of 2 squares  0  The number of ways n can be represented as the sum of 2 squares 
There are 213,222 positive integers (less than 213,223) that are coprime with 213,223. And there are approximately 19,012 prime numbers less than or equal to 213,223.
Divisibility of 213223
m  2  3  4  5  6  7  8  9 

n mod m  1  1  3  3  1  3  7  4 
213,223 is not divisible by any number less than or equal to 9.
Classification of 213223
By Arithmetic functions
 Arithmetic
 Prime
 Deficient
Expressible via specific sums
 Polite
 Nonhypotenuse
By Powers
 Prime Power
 Square Free
Base conversion (213223)
Base  System  Value 

2  Binary  110100000011100111 
3  Ternary  101211111011 
4  Quaternary  310003213 
5  Quinary  23310343 
6  Senary  4323051 
8  Octal  640347 
10  Decimal  213223 
12  Duodecimal  a3487 
16  Hexadecimal  340e7 
20  Vigesimal  16d13 
36  Base36  4kiv 
Basic calculations (n = 213223)
Multiplication
n×yn×2  426446 

n×3  639669 
n×4  852892 
n×5  1066115 
Division
n÷yn÷2  106611.500 

n÷3  71074.333 
n÷4  53305.750 
n÷5  42644.600 
Exponentiation
n^{y}n^{2}  45464047729 

n^{3}  9693980648920567 
n^{4}  2066979635904790057441 
n^{5}  440727598906527050417742343 
Nth Root
^{y}√n^{2}√n  461.76076056763 

^{3}√n  59.741760504324 
^{4}√n  21.488619326696 
^{5}√n  11.635011312969 
213223 as geometric shapes
Circle
Radius = nDiameter  426446 

Circumference  1339719.6207528 
Area  142829518347.88 
Sphere
Radius = nVolume  4.0606051187587E+16 

Surface area  571318073391.53 
Circumference  1339719.6207528 
Square
Length = nPerimeter  852892 

Area  45464047729 
Diagonal  301542.85840988 
Cube
Length = nSurface area  272784286374 

Volume  9693980648920567 
Space diagonal  369313.06934226 
Equilateral Triangle
Length = nPerimeter  639669 

Area  19686510146.091 
Altitude  184656.53467113 
Triangular Pyramid
Length = nSurface area  78746040584.364 

Volume  1.1424465755905E+15 
Height  174095.85047515 
Cryptographic Hash Functions
md5  5be008c8137268cdf9c6ac0dc09112e5 

sha1  06223fb8535e9aa0b532ee0c3140440cd8ecad75 
sha256  e0b6fbeae6ce3601ca5c4affab511807d2204bbe71c3545d7e32acfb3d0b9b86 
sha512  0796745b2a3a8f9a7a2e38ca0bf6b09ed907bb68ad65d6d2a57fbcb7271672d453c34dbe169da2f9f4fc1e2ee51116f37d2616a1db37a322b8ec40c05fd1b7c6 
ripemd160  7b3688e24799afdaf00703be391a3535811553ae 