22185324616900 has 81 divisors (see below), whose sum is σ = 48321996219693. Its totient is φ = 8841102415200.

The previous prime is 22185324616879. The next prime is 22185324616993. The reversal of 22185324616900 is 961642358122.

The square root of 22185324616900 is 4710130.

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

It can be written as a sum of positive squares in only one way, i.e., 7986716862084 + 14198607754816 = 2826078^2 + 3768104^2 .

It is a super-2 number, since 2×22185324616900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15590529589 + ... + 15590531011.

Almost surely, 2^{22185324616900} is an apocalyptic number.

22185324616900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

22185324616900 is the 4710130-th square number.

It is an amenable number.

22185324616900 is an abundant number, since it is smaller than the sum of its proper divisors (26136671602793).

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

22185324616900 is an frugal number, since it uses more digits than its factorization.

22185324616900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3522 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The spelling of 22185324616900 in words is "twenty-two trillion, one hundred eighty-five billion, three hundred twenty-four million, six hundred sixteen thousand, nine hundred".