232233105323400 has 384 divisors, whose sum is σ = 777787480915200. Its totient is φ = 57145095884800.

The previous prime is 232233105323321. The next prime is 232233105323407. The reversal of 232233105323400 is 4323501332232.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (232233105323407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 472390522 + ... + 472881878.

It is an arithmetic number, because the mean of its divisors is an integer number (2025488231550).

Almost surely, 2^{232233105323400} is an apocalyptic number.

232233105323400 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 232233105323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388893740457600).

232233105323400 is an abundant number, since it is smaller than the sum of its proper divisors (545554375591800).

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

232233105323400 is a wasteful number, since it uses less digits than its factorization.

232233105323400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492609 (or 492600 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 33.

Adding to 232233105323400 its reverse (4323501332232), we get a palindrome (236556606655632).

The spelling of 232233105323400 in words is "two hundred thirty-two trillion, two hundred thirty-three billion, one hundred five million, three hundred twenty-three thousand, four hundred".