231892320 has 192 divisors, whose sum is σ = 819092736. Its totient is φ = 54650880.

The previous prime is 231892301. The next prime is 231892327. The reversal of 231892320 is 23298132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231892327) 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 31 ways as a sum of consecutive naturals, for example, 194767 + ... + 195953.

It is an arithmetic number, because the mean of its divisors is an integer number (4266108).

Almost surely, 2^231892320 is an apocalyptic number.

231892320 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 231892320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409546368).

231892320 is an abundant number, since it is smaller than the sum of its proper divisors (587200416).

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

231892320 is a wasteful number, since it uses less digits than its factorization.

231892320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 231892320 is about 15228.0110323049. The cubic root of 231892320 is about 614.3682851739.

The spelling of 231892320 in words is "two hundred thirty-one million, eight hundred ninety-two thousand, three hundred twenty".