231552000 has 352 divisors, whose sum is σ = 868583040. Its totient is φ = 60825600.

The previous prime is 231551981. The next prime is 231552001. The reversal of 231552000 is 255132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231552001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3455967 + ... + 3456033.

Almost surely, 2^231552000 is an apocalyptic number.

231552000 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 231552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434291520).

231552000 is an abundant number, since it is smaller than the sum of its proper divisors (637031040).

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

231552000 is an equidigital number, since it uses as much as digits as its factorization.

231552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 231552000 is about 15216.8327847815. The cubic root of 231552000 is about 614.0675936294.

The spelling of 231552000 in words is "two hundred thirty-one million, five hundred fifty-two thousand".