22107200 has 84 divisors (see below), whose sum is σ = 55889652. Its totient is φ = 8601600.

The previous prime is 22107181. The next prime is 22107221. The reversal of 22107200 is 270122.

It can be written as a sum of positive squares in 6 ways, for example, as 5914624 + 16192576 = 2432^2 + 4024^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65432 + ... + 65768.

It is an arithmetic number, because the mean of its divisors is an integer number (665353).

Almost surely, 2^22107200 is an apocalyptic number.

22107200 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 22107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27944826).

22107200 is an abundant number, since it is smaller than the sum of its proper divisors (33782452).

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

22107200 is a wasteful number, since it uses less digits than its factorization.

22107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 22107200 is about 4701.8294311895. The cubic root of 22107200 is about 280.6583149519.

Adding to 22107200 its reverse (270122), we get a palindrome (22377322).

The spelling of 22107200 in words is "twenty-two million, one hundred seven thousand, two hundred".