Search a number
-
+
232205853 = 31167105023
BaseRepresentation
bin11011101011100…
…10111000011101
3121011221021112210
431311302320131
5433421041403
635012551033
75516500665
oct1565627035
9534837483
10232205853
1110a08a770
1265922479
1339152319
1422ba71a5
15155bbb03
hexdd72e1d

232205853 has 16 divisors (see below), whose sum is σ = 342798336. Its totient is φ = 138629040.

The previous prime is 232205843. The next prime is 232205917. The reversal of 232205853 is 358502232.

It is not a de Polignac number, because 232205853 - 26 = 232205789 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 232205853.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232205843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50301 + ... + 54722.

It is an arithmetic number, because the mean of its divisors is an integer number (21424896).

Almost surely, 2232205853 is an apocalyptic number.

It is an amenable number.

232205853 is a deficient number, since it is larger than the sum of its proper divisors (110592483).

232205853 is a wasteful number, since it uses less digits than its factorization.

232205853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105104.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 232205853 is about 15238.3021692051. The cubic root of 232205853 is about 614.6450486636.

The spelling of 232205853 in words is "two hundred thirty-two million, two hundred five thousand, eight hundred fifty-three".

Divisors: 1 3 11 33 67 201 737 2211 105023 315069 1155253 3465759 7036541 21109623 77401951 232205853