220038 has 48 divisors (see below), whose sum is σ = 562176. Its totient is φ = 56160.

The previous prime is 220021. The next prime is 220057. The reversal of 220038 is 830022.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 219999 and 220026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7083 + ... + 7113.

It is an arithmetic number, because the mean of its divisors is an integer number (11712).

2²²⁰⁰³⁸ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281088).

220038 is an abundant number, since it is smaller than the sum of its proper divisors (342138).

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

220038 is a wasteful number, since it uses less digits than its factorization.

220038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 220038 is about 469.0820823694. The cubic root of 220038 is about 60.3715829074.

The spelling of 220038 in words is "two hundred twenty thousand, thirty-eight".