233256864 has 96 divisors (see below), whose sum is σ = 662328576. Its totient is φ = 71598080.

The previous prime is 233256857. The next prime is 233256887. The reversal of 233256864 is 468652332.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×233256864² = 108817529206228992, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75184 + ... + 78224.

It is an arithmetic number, because the mean of its divisors is an integer number (6899256).

Almost surely, 2^233256864 is an apocalyptic number.

233256864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233256864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331164288).

233256864 is an abundant number, since it is smaller than the sum of its proper divisors (429071712).

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

233256864 is a wasteful number, since it uses less digits than its factorization.

233256864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3118 (or 3110 counting only the distinct ones).

The product of its digits is 207360, while the sum is 39.

The square root of 233256864 is about 15272.7490649195. The cubic root of 233256864 is about 615.5709893059.

The spelling of 233256864 in words is "two hundred thirty-three million, two hundred fifty-six thousand, eight hundred sixty-four".