22008392100 has 108 divisors (see below), whose sum is σ = 73042020324. Its totient is φ = 5523671040.

The previous prime is 22008392071. The next prime is 22008392101. The reversal of 22008392100 is 129380022.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1132187904 + 20876204196 = 33648^2 + 144486^2 .

It is not an unprimeable number, because it can be changed into a prime (22008392101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 703929 + ... + 734528.

It is an arithmetic number, because the mean of its divisors is an integer number (676315003).

Almost surely, 2^22008392100 is an apocalyptic number.

22008392100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22008392100 is an abundant number, since it is smaller than the sum of its proper divisors (51033628224).

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

22008392100 is a wasteful number, since it uses less digits than its factorization.

22008392100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438494 (or 1438484 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 22008392100 in words is "twenty-two billion, eight million, three hundred ninety-two thousand, one hundred".