232675200 has 192 divisors, whose sum is σ = 851842800. Its totient is φ = 62023680.

The previous prime is 232675189. The next prime is 232675211. The reversal of 232675200 is 2576232.

It is an interprime number because it is at equal distance from previous prime (232675189) and next prime (232675211).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 85054 + ... + 87746.

Almost surely, 2^232675200 is an apocalyptic number.

232675200 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 232675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425921400).

232675200 is an abundant number, since it is smaller than the sum of its proper divisors (619167600).

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

232675200 is a wasteful number, since it uses less digits than its factorization.

232675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2703 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 232675200 is about 15253.6946344156. The cubic root of 232675200 is about 615.0588878769.

The spelling of 232675200 in words is "two hundred thirty-two million, six hundred seventy-five thousand, two hundred".