23288100 has 72 divisors (see below), whose sum is σ = 73516128. Its totient is φ = 5644800.

The previous prime is 23288093. The next prime is 23288119. The reversal of 23288100 is 188232.

It is a super-2 number, since 2×23288100² = 1084671203220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229 + ... + 6828.

Almost surely, 2^23288100 is an apocalyptic number.

23288100 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 23288100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36758064).

23288100 is an abundant number, since it is smaller than the sum of its proper divisors (50228028).

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

23288100 is a wasteful number, since it uses less digits than its factorization.

23288100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7085 (or 7078 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 23288100 is about 4825.7745492304. The cubic root of 23288100 is about 285.5691918058.

The spelling of 23288100 in words is "twenty-three million, two hundred eighty-eight thousand, one hundred".