22986100224 has 240 divisors, whose sum is σ = 70346390400. Its totient is φ = 7212810240.

The previous prime is 22986100219. The next prime is 22986100243. The reversal of 22986100224 is 42200168922.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5283202 + ... + 5287550.

It is an arithmetic number, because the mean of its divisors is an integer number (293109960).

Almost surely, 2^22986100224 is an apocalyptic number.

22986100224 is a gapful number since it is divisible by the number (24) 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 22986100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35173195200).

22986100224 is an abundant number, since it is smaller than the sum of its proper divisors (47360290176).

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

22986100224 is a wasteful number, since it uses less digits than its factorization.

22986100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4441 (or 4422 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 22986100224 in words is "twenty-two billion, nine hundred eighty-six million, one hundred thousand, two hundred twenty-four".