220255120 has 20 divisors (see below), whose sum is σ = 512093340. Its totient is φ = 88102016.

The previous prime is 220255103. The next prime is 220255129. The reversal of 220255120 is 21552022.

It can be written as a sum of positive squares in 2 ways, for example, as 169104016 + 51151104 = 13004^2 + 7152^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (220255129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1376515 + ... + 1376674.

It is an arithmetic number, because the mean of its divisors is an integer number (25604667).

Almost surely, 2^220255120 is an apocalyptic number.

220255120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220255120 is an abundant number, since it is smaller than the sum of its proper divisors (291838220).

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

220255120 is a wasteful number, since it uses less digits than its factorization.

220255120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2753202 (or 2753196 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 220255120 is about 14840.9945758362. The cubic root of 220255120 is about 603.9143337124.

The spelling of 220255120 in words is "two hundred twenty million, two hundred fifty-five thousand, one hundred twenty".