22506100 has 18 divisors (see below), whose sum is σ = 48838454. Its totient is φ = 9002400.

The previous prime is 22506047. The next prime is 22506109. The reversal of 22506100 is 160522.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4153444 + 18352656 = 2038^2 + 4284^2 .

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22506109) 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, 112431 + ... + 112630.

Almost surely, 2^22506100 is an apocalyptic number.

22506100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22506100 is an abundant number, since it is smaller than the sum of its proper divisors (26332354).

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

22506100 is a wasteful number, since it uses less digits than its factorization.

22506100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225075 (or 225068 counting only the distinct ones).

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

The square root of 22506100 is about 4744.0594431352. The cubic root of 22506100 is about 282.3363188914.

Adding to 22506100 its reverse (160522), we get a palindrome (22666622).

The spelling of 22506100 in words is "twenty-two million, five hundred six thousand, one hundred".