22224900 has 72 divisors (see below), whose sum is σ = 67120704. Its totient is φ = 5667200.

The previous prime is 22224893. The next prime is 22224941. The reversal of 22224900 is 942222.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5290 + ... + 8510.

It is an arithmetic number, because the mean of its divisors is an integer number (932232).

Almost surely, 2^22224900 is an apocalyptic number.

22224900 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 22224900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33560352).

22224900 is an abundant number, since it is smaller than the sum of its proper divisors (44895804).

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

22224900 is a wasteful number, since it uses less digits than its factorization.

22224900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 22224900 is about 4714.3292205785. The cubic root of 22224900 is about 281.1555139399.

The spelling of 22224900 in words is "twenty-two million, two hundred twenty-four thousand, nine hundred".