233005864 has 32 divisors (see below), whose sum is σ = 537707520. Its totient is φ = 92177856.

The previous prime is 233005849. The next prime is 233005867. The reversal of 233005864 is 468500332.

233005864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (233005867) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159304 + ... + 160759.

It is an arithmetic number, because the mean of its divisors is an integer number (16803360).

Almost surely, 2^233005864 is an apocalyptic number.

It is an amenable number.

233005864 is an abundant number, since it is smaller than the sum of its proper divisors (304701656).

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

233005864 is a wasteful number, since it uses less digits than its factorization.

233005864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320089 (or 320085 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 233005864 is about 15264.5296029717. The cubic root of 233005864 is about 615.3501115302.

The spelling of 233005864 in words is "two hundred thirty-three million, five thousand, eight hundred sixty-four".