232551200 has 144 divisors (see below), whose sum is σ = 655833024. Its totient is φ = 78873600.

The previous prime is 232551191. The next prime is 232551217. The reversal of 232551200 is 2155232.

232551200 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 (20).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 733442 + ... + 733758.

It is an arithmetic number, because the mean of its divisors is an integer number (4554396).

Almost surely, 2^232551200 is an apocalyptic number.

232551200 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 232551200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327916512).

232551200 is an abundant number, since it is smaller than the sum of its proper divisors (423281824).

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

232551200 is a wasteful number, since it uses less digits than its factorization.

232551200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 232551200 is about 15249.6295036961. The cubic root of 232551200 is about 614.9496069930.

The spelling of 232551200 in words is "two hundred thirty-two million, five hundred fifty-one thousand, two hundred".