22105270272 has 96 divisors (see below), whose sum is σ = 62399937600. Its totient is φ = 6934953984.

The previous prime is 22105270267. The next prime is 22105270321. The reversal of 22105270272 is 27207250122.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1372 + ... + 210267.

It is an arithmetic number, because the mean of its divisors is an integer number (649999350).

Almost surely, 2^22105270272 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 22105270272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31199968800).

22105270272 is an abundant number, since it is smaller than the sum of its proper divisors (40294667328).

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

22105270272 is a wasteful number, since it uses less digits than its factorization.

22105270272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211681 (or 211661 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The spelling of 22105270272 in words is "twenty-two billion, one hundred five million, two hundred seventy thousand, two hundred seventy-two".