220288 has 16 divisors (see below), whose sum is σ = 439110. Its totient is φ = 110080.

The previous prime is 220279. The next prime is 220291. The reversal of 220288 is 882022.

It can be written as a sum of positive squares in only one way, i.e., 166464 + 53824 = 408^2 + 232^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 733 + ... + 988.

2²²⁰²⁸⁸ is an apocalyptic number.

It is an amenable number.

220288 is a deficient number, since it is larger than the sum of its proper divisors (218822).

220288 is an equidigital number, since it uses as much as digits as its factorization.

220288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 220288 is about 469.3484846039. The cubic root of 220288 is about 60.3944383283.

The spelling of 220288 in words is "two hundred twenty thousand, two hundred eighty-eight".