22252700160 has 320 divisors, whose sum is σ = 79882387200. Its totient is φ = 5871108096.

The previous prime is 22252700159. The next prime is 22252700189. The reversal of 22252700160 is 6100725222.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 6702981 + ... + 6706299.

It is an arithmetic number, because the mean of its divisors is an integer number (249632460).

Almost surely, 2^22252700160 is an apocalyptic number.

22252700160 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 22252700160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39941193600).

22252700160 is an abundant number, since it is smaller than the sum of its proper divisors (57629687040).

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

22252700160 is an equidigital number, since it uses as much as digits as its factorization.

22252700160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3426 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 22252700160 in words is "twenty-two billion, two hundred fifty-two million, seven hundred thousand, one hundred sixty".