231691200 has 336 divisors, whose sum is σ = 846612480. Its totient is φ = 55111680.

The previous prime is 231691183. The next prime is 231691217. The reversal of 231691200 is 2196132.

231691200 is digitally balanced in base 3, 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 (231691183) and next prime (231691217).

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

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, 2932761 + ... + 2932839.

It is an arithmetic number, because the mean of its divisors is an integer number (2519680).

Almost surely, 2^231691200 is an apocalyptic number.

231691200 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 231691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423306240).

231691200 is an abundant number, since it is smaller than the sum of its proper divisors (614921280).

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

231691200 is a wasteful number, since it uses less digits than its factorization.

231691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 231691200 is about 15221.4059797379. The cubic root of 231691200 is about 614.1906201145.

The spelling of 231691200 in words is "two hundred thirty-one million, six hundred ninety-one thousand, two hundred".