22546100 has 18 divisors (see below), whose sum is σ = 48925254. Its totient is φ = 9018400.

The previous prime is 22546093. The next prime is 22546109. The reversal of 22546100 is 164522.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 59536 + 22486564 = 244^2 + 4742^2 .

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 (22546109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112631 + ... + 112830.

Almost surely, 2^22546100 is an apocalyptic number.

22546100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22546100 is an abundant number, since it is smaller than the sum of its proper divisors (26379154).

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

22546100 is a wasteful number, since it uses less digits than its factorization.

22546100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225475 (or 225468 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 22546100 is about 4748.2733703948. The cubic root of 22546100 is about 282.5034849597.

The spelling of 22546100 in words is "twenty-two million, five hundred forty-six thousand, one hundred".