231296000 has 176 divisors, whose sum is σ = 625890720. Its totient is φ = 84787200.

The previous prime is 231295997. The next prime is 231296003. The reversal of 231296000 is 692132.

It is an interprime number because it is at equal distance from previous prime (231295997) and next prime (231296003).

It is not an unprimeable number, because it can be changed into a prime (231296003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1663931 + ... + 1664069.

Almost surely, 2^231296000 is an apocalyptic number.

231296000 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 231296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312945360).

231296000 is an abundant number, since it is smaller than the sum of its proper divisors (394594720).

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

231296000 is a wasteful number, since it uses less digits than its factorization.

231296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

The square root of 231296000 is about 15208.4187212215. The cubic root of 231296000 is about 613.8412092426.

The spelling of 231296000 in words is "two hundred thirty-one million, two hundred ninety-six thousand".