23251200 has 216 divisors, whose sum is σ = 88202688. Its totient is φ = 5283840.

The previous prime is 23251199. The next prime is 23251237. The reversal of 23251200 is 215232.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23251200.

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, 134314 + ... + 134486.

Almost surely, 2^23251200 is an apocalyptic number.

23251200 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 23251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44101344).

23251200 is an abundant number, since it is smaller than the sum of its proper divisors (64951488).

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

23251200 is a wasteful number, since it uses less digits than its factorization.

23251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 23251200 is about 4821.9498130943. The cubic root of 23251200 is about 285.4182839224.

Adding to 23251200 its reverse (215232), we get a palindrome (23466432).

The spelling of 23251200 in words is "twenty-three million, two hundred fifty-one thousand, two hundred".