22082772168 has 108 divisors (see below), whose sum is σ = 60825025755. Its totient is φ = 7237772640.

The previous prime is 22082772161. The next prime is 22082772169. The reversal of 22082772168 is 86127728022.

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 only one way, i.e., 11041386084 + 11041386084 = 105078^2 + 105078^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105078.

It is not an unprimeable number, because it can be changed into a prime (22082772161) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 104657583 + ... + 104657793.

Almost surely, 2^22082772168 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 22082772168

22082772168 is an abundant number, since it is smaller than the sum of its proper divisors (38742253587).

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

22082772168 is an equidigital number, since it uses as much as digits as its factorization.

22082772168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

It can be divided in two parts, 220827 and 72168, that added together give a triangular number (292995 = T₇₆₅).

The spelling of 22082772168 in words is "twenty-two billion, eighty-two million, seven hundred seventy-two thousand, one hundred sixty-eight".