22048020000 has 180 divisors, whose sum is σ = 78349381110. Its totient is φ = 5879424000.

The previous prime is 22048019953. The next prime is 22048020013. The reversal of 22048020000 is 2084022.

It can be written as a sum of positive squares in 5 ways, for example, as 1481018256 + 20567001744 = 38484^2 + 143412^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×22048020000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 118756 + ... + 241244.

Almost surely, 2^22048020000 is an apocalyptic number.

22048020000 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 22048020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39174690555).

22048020000 is an abundant number, since it is smaller than the sum of its proper divisors (56301361110).

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

22048020000 is a wasteful number, since it uses less digits than its factorization.

22048020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122525 (or 122499 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The spelling of 22048020000 in words is "twenty-two billion, forty-eight million, twenty thousand".