22084932100 has 243 divisors, whose sum is σ = 61596618111. Its totient is φ = 6847948800.

The previous prime is 22084932073. The next prime is 22084932127. The reversal of 22084932100 is 123948022.

The square root of 22084932100 is 148610.

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

It is an interprime number because it is at equal distance from previous prime (22084932073) and next prime (22084932127).

It can be written as a sum of positive squares in 4 ways, for example, as 3551921604 + 18533010496 = 59598^2 + 136136^2 .

It is a super-2 number, since 2×22084932100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 114429604 + ... + 114429796.

Almost surely, 2^22084932100 is an apocalyptic number.

22084932100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22084932100 is the 148610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22084932100

22084932100 is an abundant number, since it is smaller than the sum of its proper divisors (39511686011).

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

22084932100 is a wasteful number, since it uses less digits than its factorization.

22084932100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 22084932100 in words is "twenty-two billion, eighty-four million, nine hundred thirty-two thousand, one hundred".