22642500 has 60 divisors (see below), whose sum is σ = 66041360. Its totient is φ = 6036000.

The previous prime is 22642469. The next prime is 22642507. The reversal of 22642500 is 524622.

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (22642507) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5991 + ... + 9009.

Almost surely, 2^22642500 is an apocalyptic number.

22642500 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 22642500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33020680).

22642500 is an abundant number, since it is smaller than the sum of its proper divisors (43398860).

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

22642500 is a wasteful number, since it uses less digits than its factorization.

22642500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3046 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 22642500 is about 4758.4136011911. The cubic root of 22642500 is about 282.9055443576.

The spelling of 22642500 in words is "twenty-two million, six hundred forty-two thousand, five hundred".