232252230400 has 432 divisors, whose sum is σ = 635971795200. Its totient is φ = 83623034880.

The previous prime is 232252230389. The next prime is 232252230439. The reversal of 232252230400 is 4032252232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236268309 + ... + 236269291.

Almost surely, 2^232252230400 is an apocalyptic number.

232252230400 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 232252230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317985897600).

232252230400 is an abundant number, since it is smaller than the sum of its proper divisors (403719564800).

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

232252230400 is a wasteful number, since it uses less digits than its factorization.

232252230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1105 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

Adding to 232252230400 its reverse (4032252232), we get a palindrome (236284482632).

The spelling of 232252230400 in words is "two hundred thirty-two billion, two hundred fifty-two million, two hundred thirty thousand, four hundred".