2272188872 has 36 divisors (see below), whose sum is σ = 4501459755. Its totient is φ = 1075086576.

The previous prime is 2272188871. The next prime is 2272188887. The reversal of 2272188872 is 2788812722.

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., 1136094436 + 1136094436 = 33706^2 + 33706^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33706.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2272188871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2561213 + ... + 2562099.

Almost surely, 2^2272188872 is an apocalyptic number.

It is an amenable number.

2272188872 is a deficient number, since it is larger than the sum of its proper divisors (2229270883).

2272188872 is an frugal number, since it uses more digits than its factorization.

2272188872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 908 counting only the distinct ones).

The product of its digits is 401408, while the sum is 47.

The square root of 2272188872 is about 47667.4823333475. The cubic root of 2272188872 is about 1314.6641177358.

Multiplying 2272188872 by its product of digits (401408), we get a square (912074790731776 = 30200576²).

The spelling of 2272188872 in words is "two billion, two hundred seventy-two million, one hundred eighty-eight thousand, eight hundred seventy-two".