220255281 has 45 divisors (see below), whose sum is σ = 353156529. Its totient is φ = 136774656.

The previous prime is 220255271. The next prime is 220255289. The reversal of 220255281 is 182552022.

The square root of 220255281 is 14841.

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

It can be written as a sum of positive squares in 4 ways, for example, as 12895281 + 207360000 = 3591^2 + 14400^2 .

It is not a de Polignac number, because 220255281 - 2⁵ = 220255249 is a prime.

It is a super-2 number, since 2×220255281² = 97024777616777922, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (220255289) 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 44 ways as a sum of consecutive naturals, for example, 2270625 + ... + 2270721.

Almost surely, 2^220255281 is an apocalyptic number.

220255281 is the 14841-st square number.

220255281 is the 7421-st centered octagonal number.

It is an amenable number.

220255281 is a deficient number, since it is larger than the sum of its proper divisors (132901248).

220255281 is an frugal number, since it uses more digits than its factorization.

220255281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The cubic root of 220255281 is about 603.9144808602.

The spelling of 220255281 in words is "two hundred twenty million, two hundred fifty-five thousand, two hundred eighty-one".