220830 has 32 divisors (see below), whose sum is σ = 562464. Its totient is φ = 55296.

The previous prime is 220811. The next prime is 220841. The reversal of 220830 is 38022.

220830 = 20² + 21² + ... + 87².

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 6.

It is a congruent number.

It is an unprimeable number.

220830 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294 + ... + 726.

It is an arithmetic number, because the mean of its divisors is an integer number (17577).

2²²⁰⁸³⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232).

220830 is an abundant number, since it is smaller than the sum of its proper divisors (341634).

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

220830 is a wasteful number, since it uses less digits than its factorization.

220830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460.

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

The square root of 220830 is about 469.9255260145. The cubic root of 220830 is about 60.4439295640.

Adding to 220830 its reverse (38022), we get a palindrome (258852).

The spelling of 220830 in words is "two hundred twenty thousand, eight hundred thirty".