231249984 has 112 divisors (see below), whose sum is σ = 709135488. Its totient is φ = 65138688.

The previous prime is 231249983. The next prime is 231249989. The reversal of 231249984 is 489942132.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (231249983) 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, 96934 + ... + 99290.

Almost surely, 2^231249984 is an apocalyptic number.

231249984 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 231249984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354567744).

231249984 is an abundant number, since it is smaller than the sum of its proper divisors (477885504).

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

231249984 is a wasteful number, since it uses less digits than its factorization.

231249984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452 (or 2442 counting only the distinct ones).

The product of its digits is 124416, while the sum is 42.

The square root of 231249984 is about 15206.9057996688. The cubic root of 231249984 is about 613.8004989400.

The spelling of 231249984 in words is "two hundred thirty-one million, two hundred forty-nine thousand, nine hundred eighty-four".