232236541600 has 144 divisors (see below), whose sum is σ = 648643234176. Its totient is φ = 79537536000.

The previous prime is 232236541547. The next prime is 232236541717. The reversal of 232236541600 is 6145632232.

232236541600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×232236541600² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5247565 + ... + 5291635.

It is an arithmetic number, because the mean of its divisors is an integer number (4504466904).

Almost surely, 2^232236541600 is an apocalyptic number.

232236541600 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 232236541600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324321617088).

232236541600 is an abundant number, since it is smaller than the sum of its proper divisors (416406692576).

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

232236541600 is a wasteful number, since it uses less digits than its factorization.

232236541600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45039 (or 45026 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The spelling of 232236541600 in words is "two hundred thirty-two billion, two hundred thirty-six million, five hundred forty-one thousand, six hundred".