231487200 has 288 divisors, whose sum is σ = 957438720. Its totient is φ = 52876800.

The previous prime is 231487187. The next prime is 231487213. The reversal of 231487200 is 2784132.

231487200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (231487187) and next prime (231487213).

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150435 + ... + 151965.

It is an arithmetic number, because the mean of its divisors is an integer number (3324440).

Almost surely, 2^231487200 is an apocalyptic number.

231487200 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 231487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478719360).

231487200 is an abundant number, since it is smaller than the sum of its proper divisors (725951520).

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

231487200 is a wasteful number, since it uses less digits than its factorization.

231487200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1567 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 231487200 is about 15214.7034147893. The cubic root of 231487200 is about 614.0103058603.

The spelling of 231487200 in words is "two hundred thirty-one million, four hundred eighty-seven thousand, two hundred".