220228506585 has 64 divisors (see below), whose sum is σ = 398531251200. Its totient is φ = 115366477824.

The previous prime is 220228506541. The next prime is 220228506587. The reversal of 220228506585 is 585605822022.

220228506585 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 220228506585 - 2⁷ = 220228506457 is a prime.

It is a super-3 number, since 3×220228506585³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 220228506585.

It is not an unprimeable number, because it can be changed into a prime (220228506587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2004849 + ... + 2111841.

It is an arithmetic number, because the mean of its divisors is an integer number (6227050800).

Almost surely, 2^220228506585 is an apocalyptic number.

It is an amenable number.

220228506585 is a deficient number, since it is larger than the sum of its proper divisors (178302744615).

220228506585 is a wasteful number, since it uses less digits than its factorization.

220228506585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107279 (or 107273 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 220228506585 in words is "two hundred twenty billion, two hundred twenty-eight million, five hundred six thousand, five hundred eighty-five".