220389 has 8 divisors (see below), whose sum is σ = 316512. Its totient is φ = 135600.

The previous prime is 220373. The next prime is 220391. The reversal of 220389 is 983022.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 220389 - 2⁴ = 220373 is a prime.

It is a super-2 number, since 2×220389² = 97142622642, which contains 22 as substring.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

220389 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220369) 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 7 ways as a sum of consecutive naturals, for example, 2787 + ... + 2864.

It is an arithmetic number, because the mean of its divisors is an integer number (39564).

2²²⁰³⁸⁹ is an apocalyptic number.

It is an amenable number.

220389 is a deficient number, since it is larger than the sum of its proper divisors (96123).

220389 is a wasteful number, since it uses less digits than its factorization.

220389 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 220389 is about 469.4560682322. The cubic root of 220389 is about 60.4036670142.

The spelling of 220389 in words is "two hundred twenty thousand, three hundred eighty-nine".