232233132414200 has 96 divisors (see below), whose sum is σ = 557464818360960. Its totient is φ = 89879712460800.

The previous prime is 232233132414181. The next prime is 232233132414229. The reversal of 232233132414200 is 2414231332232.

It is a super-2 number, since 2×232233132414200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29305724 + ... + 36377076.

It is an arithmetic number, because the mean of its divisors is an integer number (5806925191260).

Almost surely, 2^{232233132414200} is an apocalyptic number.

232233132414200 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 232233132414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278732409180480).

232233132414200 is an abundant number, since it is smaller than the sum of its proper divisors (325231685946760).

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

232233132414200 is a wasteful number, since it uses less digits than its factorization.

232233132414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7076697 (or 7076688 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 232233132414200 its reverse (2414231332232), we get a palindrome (234647363746432).

The spelling of 232233132414200 in words is "two hundred thirty-two trillion, two hundred thirty-three billion, one hundred thirty-two million, four hundred fourteen thousand, two hundred".