23125200 has 120 divisors (see below), whose sum is σ = 84691008. Its totient is φ = 5283840.

The previous prime is 23125199. The next prime is 23125229. The reversal of 23125200 is 252132.

It is a tau number, because it is divible by the number of its divisors (120).

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 23125200.

It is a congruent number.

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, 7024 + ... + 9776.

Almost surely, 2^23125200 is an apocalyptic number.

23125200 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 23125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42345504).

23125200 is an abundant number, since it is smaller than the sum of its proper divisors (61565808).

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

23125200 is a wasteful number, since it uses less digits than its factorization.

23125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2770 counting only the distinct ones).

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

The square root of 23125200 is about 4808.8668103827. The cubic root of 23125200 is about 284.9017820990.

Adding to 23125200 its reverse (252132), we get a palindrome (23377332).

The spelling of 23125200 in words is "twenty-three million, one hundred twenty-five thousand, two hundred".