220338 has 12 divisors (see below), whose sum is σ = 477438. Its totient is φ = 73440.

The previous prime is 220333. The next prime is 220351. The reversal of 220338 is 833022.

220338 = 77² + 78² + ... + 103².

It can be written as a sum of positive squares in only one way, i.e., 205209 + 15129 = 453^2 + 123^2 .

It is a Smith number, since the sum of its digits (18) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 12241 = 220338 / (2 + 2 + 0 + 3 + 3 + 8).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 220338.

It is not an unprimeable number, because it can be changed into a prime (220333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6103 + ... + 6138.

2²²⁰³³⁸ is an apocalyptic number.

220338 is an abundant number, since it is smaller than the sum of its proper divisors (257100).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

220338 is a wasteful number, since it uses less digits than its factorization.

220338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12249 (or 12246 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 220338 is about 469.4017469077. The cubic root of 220338 is about 60.3990073372.

The spelling of 220338 in words is "two hundred twenty thousand, three hundred thirty-eight".