231612000 has 96 divisors (see below), whose sum is σ = 758800224. Its totient is φ = 61760000.

The previous prime is 231611999. The next prime is 231612013. The reversal of 231612000 is 216132.

231612000 is digitally balanced in base 2 and base 3, because in such bases 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2350 + ... + 21650.

It is an arithmetic number, because the mean of its divisors is an integer number (7904169).

Almost surely, 2^231612000 is an apocalyptic number.

231612000 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 231612000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379400112).

231612000 is an abundant number, since it is smaller than the sum of its proper divisors (527188224).

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

231612000 is a wasteful number, since it uses less digits than its factorization.

231612000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19329 (or 19311 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 231612000 is about 15218.8041580145. The cubic root of 231612000 is about 614.1206283311.

Adding to 231612000 its reverse (216132), we get a palindrome (231828132).

The spelling of 231612000 in words is "two hundred thirty-one million, six hundred twelve thousand".