22085722100 has 72 divisors (see below), whose sum is σ = 51672296928. Its totient is φ = 8145302400.

The previous prime is 22085722097. The next prime is 22085722103. The reversal of 22085722100 is 122758022.

It is an interprime number because it is at equal distance from previous prime (22085722097) and next prime (22085722103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22085722103) 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 23 ways as a sum of consecutive naturals, for example, 1169735 + ... + 1188465.

Almost surely, 2^22085722100 is an apocalyptic number.

22085722100 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 22085722100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25836148464).

22085722100 is an abundant number, since it is smaller than the sum of its proper divisors (29586574828).

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

22085722100 is a wasteful number, since it uses less digits than its factorization.

22085722100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19665 (or 19658 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The spelling of 22085722100 in words is "twenty-two billion, eighty-five million, seven hundred twenty-two thousand, one hundred".