233032800 has 576 divisors, whose sum is σ = 1028934144. Its totient is φ = 44236800.

The previous prime is 233032799. The next prime is 233032819. The reversal of 233032800 is 8230332.

233032800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2402352 + ... + 2402448.

It is an arithmetic number, because the mean of its divisors is an integer number (1786344).

Almost surely, 2^233032800 is an apocalyptic number.

233032800 is a gapful number since it is divisible by the number (20) 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 233032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514467072).

233032800 is an abundant number, since it is smaller than the sum of its proper divisors (795901344).

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

233032800 is a wasteful number, since it uses less digits than its factorization.

233032800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 233032800 is about 15265.4118843875. The cubic root of 233032800 is about 615.3738225671.

The spelling of 233032800 in words is "two hundred thirty-three million, thirty-two thousand, eight hundred".