22205200 has 60 divisors (see below), whose sum is σ = 54630928. Its totient is φ = 8668800.

The previous prime is 22205177. The next prime is 22205201. The reversal of 22205200 is 250222.

It is not an unprimeable number, because it can be changed into a prime (22205201) 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, 16555 + ... + 17845.

Almost surely, 2^22205200 is an apocalyptic number.

22205200 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 22205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27315464).

22205200 is an abundant number, since it is smaller than the sum of its proper divisors (32425728).

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

22205200 is a wasteful number, since it uses less digits than its factorization.

22205200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352 (or 1341 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The square root of 22205200 is about 4712.2393827139. The cubic root of 22205200 is about 281.0724179389.

Adding to 22205200 its reverse (250222), we get a palindrome (22455422).

The spelling of 22205200 in words is "twenty-two million, two hundred five thousand, two hundred".