232245002400 has 144 divisors (see below), whose sum is σ = 788825386944. Its totient is φ = 59239290880.

The previous prime is 232245002389. The next prime is 232245002417. The reversal of 232245002400 is 4200542232.

It is a happy number.

It is a super-2 number, since 2×232245002400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2048469 + ... + 2158868.

It is an arithmetic number, because the mean of its divisors is an integer number (5477954076).

Almost surely, 2^232245002400 is an apocalyptic number.

232245002400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232245002400 is an abundant number, since it is smaller than the sum of its proper divisors (556580384544).

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

232245002400 is a wasteful number, since it uses less digits than its factorization.

232245002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4207383 (or 4207370 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 232245002400 its reverse (4200542232), we get a palindrome (236445544632).

The spelling of 232245002400 in words is "two hundred thirty-two billion, two hundred forty-five million, two thousand, four hundred".