23215200 has 144 divisors (see below), whose sum is σ = 80151120. Its totient is φ = 5816320.

The previous prime is 23215189. The next prime is 23215201. The reversal of 23215200 is 251232.

It is a super-2 number, since 2×23215200² = 1077891022080000, which contains 22 as substring.

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 23215200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23215201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40516 + ... + 41084.

It is an arithmetic number, because the mean of its divisors is an integer number (556605).

Almost surely, 2^23215200 is an apocalyptic number.

23215200 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 23215200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40075560).

23215200 is an abundant number, since it is smaller than the sum of its proper divisors (56935920).

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

23215200 is a wasteful number, since it uses less digits than its factorization.

23215200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 596 counting only the distinct ones).

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

The square root of 23215200 is about 4818.2154372755. The cubic root of 23215200 is about 285.2709027726.

Adding to 23215200 its reverse (251232), we get a palindrome (23466432).

The spelling of 23215200 in words is "twenty-three million, two hundred fifteen thousand, two hundred".