22815200 has 108 divisors (see below), whose sum is σ = 59527440. Its totient is φ = 8536320.

The previous prime is 22815197. The next prime is 22815209. The reversal of 22815200 is 251822.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22815209) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 288761 + ... + 288839.

It is an arithmetic number, because the mean of its divisors is an integer number (551180).

Almost surely, 2^22815200 is an apocalyptic number.

22815200 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 22815200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29763720).

22815200 is an abundant number, since it is smaller than the sum of its proper divisors (36712240).

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

22815200 is a wasteful number, since it uses less digits than its factorization.

22815200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 22815200 is about 4776.5259341911. The cubic root of 22815200 is about 283.6229871364.

The spelling of 22815200 in words is "twenty-two million, eight hundred fifteen thousand, two hundred".