22940820000 has 1350 divisors, whose sum is σ = 104181398937. Its totient is φ = 4935168000.

The previous prime is 22940819999. The next prime is 22940820029. The reversal of 22940820000 is 2804922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 3111696 + 22937708304 = 1764^2 + 151452^2 .

It is a tau number, because it is divible by the number of its divisors (1350).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=107100.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 224 ways as a sum of consecutive naturals, for example, 1349459992 + ... + 1349460008.

Almost surely, 2^22940820000 is an apocalyptic number.

22940820000 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 22940820000

22940820000 is an abundant number, since it is smaller than the sum of its proper divisors (81240578937).

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

22940820000 is an equidigital number, since it uses as much as digits as its factorization.

22940820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 22940820000 in words is "twenty-two billion, nine hundred forty million, eight hundred twenty thousand".