22209940900 has 81 divisors (see below), whose sum is σ = 56090582499. Its totient is φ = 7611260160.

The previous prime is 22209940889. The next prime is 22209940903. The reversal of 22209940900 is 904990222.

The square root of 22209940900 is 149030.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3370731364 + 18839209536 = 58058^2 + 137256^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 22209940900.

It is not an unprimeable number, because it can be changed into a prime (22209940903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10431036 + ... + 10433164.

Almost surely, 2^22209940900 is an apocalyptic number.

22209940900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22209940900 is the 149030-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22209940900

22209940900 is an abundant number, since it is smaller than the sum of its proper divisors (33880641599).

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

22209940900 is an equidigital number, since it uses as much as digits as its factorization.

22209940900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 22209940900 in words is "twenty-two billion, two hundred nine million, nine hundred forty thousand, nine hundred".