22501600 has 72 divisors (see below), whose sum is σ = 59949288. Its totient is φ = 8179200.

The previous prime is 22501573. The next prime is 22501601. The reversal of 22501600 is 610522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22501601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7522 + ... + 10078.

It is an arithmetic number, because the mean of its divisors is an integer number (832629).

Almost surely, 2^22501600 is an apocalyptic number.

22501600 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 22501600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29974644).

22501600 is an abundant number, since it is smaller than the sum of its proper divisors (37447688).

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

22501600 is a wasteful number, since it uses less digits than its factorization.

22501600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2588 (or 2575 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 22501600 is about 4743.5851420629. The cubic root of 22501600 is about 282.3175003175.

The spelling of 22501600 in words is "twenty-two million, five hundred one thousand, six hundred".