232748100 has 288 divisors, whose sum is σ = 850640000. Its totient is φ = 54120960.

The previous prime is 232748099. The next prime is 232748107. The reversal of 232748100 is 1847232.

It is a super-2 number, since 2×232748100² = 108343356107220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (232748107) 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, 666726 + ... + 667074.

Almost surely, 2^232748100 is an apocalyptic number.

232748100 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 232748100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425320000).

232748100 is an abundant number, since it is smaller than the sum of its proper divisors (617891900).

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

232748100 is a wasteful number, since it uses less digits than its factorization.

232748100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 232748100 is about 15256.0840322804. The cubic root of 232748100 is about 615.1231163393.

The spelling of 232748100 in words is "two hundred thirty-two million, seven hundred forty-eight thousand, one hundred".