233157564 has 36 divisors (see below), whose sum is σ = 609696360. Its totient is φ = 75038880.

The previous prime is 233157563. The next prime is 233157571. The reversal of 233157564 is 465751332.

233157564 is a `hidden beast` number, since 23 + 3 + 1 + 575 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233157563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 110622 + ... + 112709.

It is an arithmetic number, because the mean of its divisors is an integer number (16936010).

Almost surely, 2^233157564 is an apocalyptic number.

It is an amenable number.

233157564 is an abundant number, since it is smaller than the sum of its proper divisors (376538796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233157564 is a wasteful number, since it uses less digits than its factorization.

233157564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223370 (or 223365 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 233157564 is about 15269.4978306426. The cubic root of 233157564 is about 615.4836251383.

It can be divided in two parts, 2331 and 57564, that added together give a palindrome (59895).

The spelling of 233157564 in words is "two hundred thirty-three million, one hundred fifty-seven thousand, five hundred sixty-four".