232864200 has 192 divisors, whose sum is σ = 830304000. Its totient is φ = 59915520.

The previous prime is 232864187. The next prime is 232864201. The reversal of 232864200 is 2468232.

232864200 is a `hidden beast` number, since 232 + 8 + 6 + 420 + 0 = 666.

232864200 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 (27).

It is not an unprimeable number, because it can be changed into a prime (232864201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155857 + ... + 157343.

It is an arithmetic number, because the mean of its divisors is an integer number (4324500).

Almost surely, 2^232864200 is an apocalyptic number.

232864200 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 232864200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415152000).

232864200 is an abundant number, since it is smaller than the sum of its proper divisors (597439800).

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

232864200 is a wasteful number, since it uses less digits than its factorization.

232864200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 232864200 is about 15259.8885972343. Note that the first 3 decimals coincide. The cubic root of 232864200 is about 615.2253784308.

The spelling of 232864200 in words is "two hundred thirty-two million, eight hundred sixty-four thousand, two hundred".