233525664 has 36 divisors (see below), whose sum is σ = 664089426. Its totient is φ = 77841792.

The previous prime is 233525653. The next prime is 233525671. The reversal of 233525664 is 466525332.

233525664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 198810000 + 34715664 = 14100^2 + 5892^2 .

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 an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 405139 + ... + 405714.

Almost surely, 2^233525664 is an apocalyptic number.

233525664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

233525664 is an abundant number, since it is smaller than the sum of its proper divisors (430563762).

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

233525664 is a wasteful number, since it uses less digits than its factorization.

233525664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810869 (or 810858 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

The square root of 233525664 is about 15281.5465185956. The cubic root of 233525664 is about 615.8073552877.

The spelling of 233525664 in words is "two hundred thirty-three million, five hundred twenty-five thousand, six hundred sixty-four".