232867200 has 192 divisors, whose sum is σ = 777093120. Its totient is φ = 61286400.

The previous prime is 232867177. The next prime is 232867237. The reversal of 232867200 is 2768232.

232867200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1219105 + ... + 1219295.

It is an arithmetic number, because the mean of its divisors is an integer number (4047360).

Almost surely, 2^232867200 is an apocalyptic number.

232867200 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 232867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388546560).

232867200 is an abundant number, since it is smaller than the sum of its proper divisors (544225920).

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

232867200 is a wasteful number, since it uses less digits than its factorization.

232867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 232867200 is about 15259.9868938345. The cubic root of 232867200 is about 615.2280204116.

The spelling of 232867200 in words is "two hundred thirty-two million, eight hundred sixty-seven thousand, two hundred".