231201600 has 252 divisors, whose sum is σ = 883273824. Its totient is φ = 52792320.

The previous prime is 231201599. The next prime is 231201613. The reversal of 231201600 is 6102132.

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

It is a self number, because there is not a number n which added to its sum of digits gives 231201600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234709 + ... + 235691.

Almost surely, 2^231201600 is an apocalyptic number.

231201600 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 231201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441636912).

231201600 is an abundant number, since it is smaller than the sum of its proper divisors (652072224).

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

231201600 is a wasteful number, since it uses less digits than its factorization.

231201600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1000 counting only the distinct ones).

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

The square root of 231201600 is about 15205.3148602717. The cubic root of 231201600 is about 613.7576878454.

Adding to 231201600 its reverse (6102132), we get a palindrome (237303732).

The spelling of 231201600 in words is "two hundred thirty-one million, two hundred one thousand, six hundred".