233288832 has 128 divisors (see below), whose sum is σ = 720691200. Its totient is φ = 65479680.

The previous prime is 233288831. The next prime is 233288833. The reversal of 233288832 is 238882332.

233288832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233288831) and next prime (233288833).

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (233288831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 157857 + ... + 159327.

It is an arithmetic number, because the mean of its divisors is an integer number (5630400).

Almost surely, 2^233288832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233288832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360345600).

233288832 is an abundant number, since it is smaller than the sum of its proper divisors (487402368).

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

233288832 is a wasteful number, since it uses less digits than its factorization.

233288832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1554 (or 1542 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 233288832 is about 15273.7955989990. The cubic root of 233288832 is about 615.5991094852.

The spelling of 233288832 in words is "two hundred thirty-three million, two hundred eighty-eight thousand, eight hundred thirty-two".