220269 has 16 divisors (see below), whose sum is σ = 355968. Its totient is φ = 118272.

The previous prime is 220243. The next prime is 220279. The reversal of 220269 is 962022.

220269 = 102² + 103² + ... + 119².

It is a happy number.

It is not a de Polignac number, because 220269 - 2⁷ = 220141 is a prime.

It is a super-2 number, since 2×220269² = 97036864722, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 220269.

It is not an unprimeable number, because it can be changed into a prime (220279) 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 15 ways as a sum of consecutive naturals, for example, 49 + ... + 665.

It is an arithmetic number, because the mean of its divisors is an integer number (22248).

2²²⁰²⁶⁹ is an apocalyptic number.

It is an amenable number.

220269 is a deficient number, since it is larger than the sum of its proper divisors (135699).

220269 is a wasteful number, since it uses less digits than its factorization.

220269 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 220269 is about 469.3282433436. The cubic root of 220269 is about 60.3927019236.

The spelling of 220269 in words is "two hundred twenty thousand, two hundred sixty-nine".