232915200 has 216 divisors, whose sum is σ = 878985408. Its totient is φ = 53207040.

The previous prime is 232915171. The next prime is 232915201. The reversal of 232915200 is 2519232.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (232915201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133534 + ... + 135266.

Almost surely, 2^232915200 is an apocalyptic number.

232915200 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 232915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439492704).

232915200 is an abundant number, since it is smaller than the sum of its proper divisors (646070208).

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

232915200 is a wasteful number, since it uses less digits than its factorization.

232915200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1750 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 232915200 is about 15261.5595533353. The cubic root of 232915200 is about 615.2702890181.

The spelling of 232915200 in words is "two hundred thirty-two million, nine hundred fifteen thousand, two hundred".