220500 has 108 divisors (see below), whose sum is σ = 809172. Its totient is φ = 50400.

The previous prime is 220471. The next prime is 220511. The reversal of 220500 is 5022.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

220500 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 2 ways, for example, as 7056 + 213444 = 84^2 + 462^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31497 + ... + 31503.

2²²⁰⁵⁰⁰ is an apocalyptic number.

220500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404586).

220500 is an abundant number, since it is smaller than the sum of its proper divisors (588672).

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

220500 is a wasteful number, since it uses less digits than its factorization.

220500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 9.

The square root of 220500 is about 469.5742752750. The cubic root of 220500 is about 60.4138061798.

Multiplying 220500 by its product of nonzero digits (20), we get a square (4410000 = 2100²).

220500 divided by its product of nonzero digits (20) gives a square (11025 = 105²).

Adding to 220500 its reverse (5022), we get a palindrome (225522).

It can be divided in two parts, 2 and 20500, that added together give a palindrome (20502).

The spelling of 220500 in words is "two hundred twenty thousand, five hundred".