220506 has 32 divisors (see below), whose sum is σ = 520128. Its totient is φ = 61440.

The previous prime is 220471. The next prime is 220511. The reversal of 220506 is 605022.

220506 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 730 + ... + 986.

It is an arithmetic number, because the mean of its divisors is an integer number (16254).

2²²⁰⁵⁰⁶ is an apocalyptic number.

220506 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 220506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260064).

220506 is an abundant number, since it is smaller than the sum of its proper divisors (299622).

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

220506 is a wasteful number, since it uses less digits than its factorization.

220506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 220506 is about 469.5806639971. The cubic root of 220506 is about 60.4143541459.

Adding to 220506 its reverse (605022), we get a palindrome (825528).

The spelling of 220506 in words is "two hundred twenty thousand, five hundred six".