22284138272 has 54 divisors (see below), whose sum is σ = 48242938779. Its totient is φ = 10124931520.

The previous prime is 22284138257. The next prime is 22284138287. The reversal of 22284138272 is 27283148222.

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 is an interprime number because it is at equal distance from previous prime (22284138257) and next prime (22284138287).

It can be written as a sum of positive squares in only one way, i.e., 11142069136 + 11142069136 = 105556^2 + 105556^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=105556.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9287729 + ... + 9290127.

Almost surely, 2^22284138272 is an apocalyptic number.

22284138272 is a gapful number since it is divisible by the number (22) 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 22284138272

22284138272 is an abundant number, since it is smaller than the sum of its proper divisors (25958800507).

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

22284138272 is an frugal number, since it uses more digits than its factorization.

22284138272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4830 (or 2412 counting only the distinct ones).

The product of its digits is 172032, while the sum is 41.

The spelling of 22284138272 in words is "twenty-two billion, two hundred eighty-four million, one hundred thirty-eight thousand, two hundred seventy-two".