220005088209 has 45 divisors (see below), whose sum is σ = 338271729159. Its totient is φ = 137787246720.

The previous prime is 220005088139. The next prime is 220005088231. The reversal of 220005088209 is 902880500022.

The square root of 220005088209 is 469047.

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

It can be written as a sum of positive squares in 7 ways, for example, as 18960463809 + 201044624400 = 137697^2 + 448380^2 .

It is not a de Polignac number, because 220005088209 - 2¹⁵ = 220005055441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (220005087209) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 406663479 + ... + 406664019.

Almost surely, 2^220005088209 is an apocalyptic number.

220005088209 is the 469047-th square number.

220005088209 is the 234524-th centered octagonal number.

It is an amenable number.

220005088209 is a deficient number, since it is larger than the sum of its proper divisors (118266640950).

220005088209 is an frugal number, since it uses more digits than its factorization.

220005088209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Multiplying 220005088209 by its sum of digits (36), we get a square (7920183175524 = 2814282²).

The spelling of 220005088209 in words is "two hundred twenty billion, five million, eighty-eight thousand, two hundred nine".