22101332224 has 108 divisors (see below), whose sum is σ = 46358306316. Its totient is φ = 10515214336.

The previous prime is 22101332191. The next prime is 22101332263. The reversal of 22101332224 is 42223310122.

It can be written as a sum of positive squares in 2 ways, for example, as 11785273600 + 10316058624 = 108560^2 + 101568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22101332195 and 22101332204.

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 11 ways as a sum of consecutive naturals, for example, 39678954 + ... + 39679510.

It is an arithmetic number, because the mean of its divisors is an integer number (429243577).

Almost surely, 2^22101332224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22101332224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23179153158).

22101332224 is an abundant number, since it is smaller than the sum of its proper divisors (24256974092).

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

22101332224 is an equidigital number, since it uses as much as digits as its factorization.

22101332224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 22101332224 its reverse (42223310122), we get a palindrome (64324642346).

The spelling of 22101332224 in words is "twenty-two billion, one hundred one million, three hundred thirty-two thousand, two hundred twenty-four".