22252285584 has 135 divisors (see below), whose sum is σ = 64510055337. Its totient is φ = 7160256000.

The previous prime is 22252285567. The next prime is 22252285589. The reversal of 22252285584 is 48558225222.

It is a happy number.

The square root of 22252285584 is 149172.

It is a perfect power (a square), and thus also a powerful number.

22252285584 is a `hidden beast` number, since 2 + 22 + 52 + 28 + 558 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22030871184 + 221414400 = 148428^2 + 14880^2 .

It is not an unprimeable number, because it can be changed into a prime (22252285589) 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, 55491784 + ... + 55492184.

Almost surely, 2^22252285584 is an apocalyptic number.

22252285584 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

22252285584 is the 149172-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22252285584

22252285584 is an abundant number, since it is smaller than the sum of its proper divisors (42257769753).

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

22252285584 is an equidigital number, since it uses as much as digits as its factorization.

22252285584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 437 counting only the distinct ones).

The product of its digits is 1024000, while the sum is 45.

The spelling of 22252285584 in words is "twenty-two billion, two hundred fifty-two million, two hundred eighty-five thousand, five hundred eighty-four".