232763200 has 42 divisors (see below), whose sum is σ = 572746886. Its totient is φ = 93104640.

The previous prime is 232763161. The next prime is 232763203. The reversal of 232763200 is 2367232.

It can be written as a sum of positive squares in 3 ways, for example, as 1236544 + 231526656 = 1112^2 + 15216^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232763203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 71139 + ... + 74338.

Almost surely, 2^232763200 is an apocalyptic number.

232763200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232763200 is an abundant number, since it is smaller than the sum of its proper divisors (339983686).

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

232763200 is a wasteful number, since it uses less digits than its factorization.

232763200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145499 (or 145484 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 232763200 is about 15256.5789087855. The cubic root of 232763200 is about 615.1364185004.

The spelling of 232763200 in words is "two hundred thirty-two million, seven hundred sixty-three thousand, two hundred".