231151440 has 240 divisors, whose sum is σ = 800573760. Its totient is φ = 55111680.

The previous prime is 231151433. The next prime is 231151451. The reversal of 231151440 is 44151132.

231151440 is digitally balanced in base 2, 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 (240).

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, 1662891 + ... + 1663029.

It is an arithmetic number, because the mean of its divisors is an integer number (3335724).

Almost surely, 2^231151440 is an apocalyptic number.

231151440 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 231151440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400286880).

231151440 is an abundant number, since it is smaller than the sum of its proper divisors (569422320).

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

231151440 is a wasteful number, since it uses less digits than its factorization.

231151440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 231151440 is about 15203.6653475404. The cubic root of 231151440 is about 613.7132990057.

The spelling of 231151440 in words is "two hundred thirty-one million, one hundred fifty-one thousand, four hundred forty".