231270624 has 144 divisors (see below), whose sum is σ = 714010752. Its totient is φ = 70585344.

The previous prime is 231270617. The next prime is 231270629. The reversal of 231270624 is 426072132.

231270624 is a `hidden beast` number, since 2 + 31 + 2 + 7 + 0 + 624 = 666.

231270624 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×231270624² = 106972203050698752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231270629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 834774 + ... + 835050.

It is an arithmetic number, because the mean of its divisors is an integer number (4958408).

Almost surely, 2^231270624 is an apocalyptic number.

231270624 is a gapful number since it is divisible by the number (24) 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 231270624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357005376).

231270624 is an abundant number, since it is smaller than the sum of its proper divisors (482740128).

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

231270624 is a wasteful number, since it uses less digits than its factorization.

231270624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 231270624 is about 15207.5844235697. The cubic root of 231270624 is about 613.8187597922.

The spelling of 231270624 in words is "two hundred thirty-one million, two hundred seventy thousand, six hundred twenty-four".