220249 has 4 divisors (see below), whose sum is σ = 221364. Its totient is φ = 219136.

The previous prime is 220243. The next prime is 220279. The reversal of 220249 is 942022.

It is a happy number.

220249 is nontrivially palindromic in base 7.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 211600 + 8649 = 460^2 + 93^2 .

It is a cyclic number.

It is not a de Polignac number, because 220249 - 2⁵ = 220217 is a prime.

It is a Duffinian number.

220249 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (220243) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 172 + ... + 685.

It is an arithmetic number, because the mean of its divisors is an integer number (55341).

2²²⁰²⁴⁹ is an apocalyptic number.

It is an amenable number.

220249 is a deficient number, since it is larger than the sum of its proper divisors (1115).

220249 is an equidigital number, since it uses as much as digits as its factorization.

220249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1114.

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 220249 is about 469.3069358107. The cubic root of 220249 is about 60.3908740214.

Subtracting from 220249 its product of nonzero digits (288), we obtain a square (219961 = 469²).

The spelling of 220249 in words is "two hundred twenty thousand, two hundred forty-nine".