220114100 has 36 divisors (see below), whose sum is σ = 480326028. Its totient is φ = 87552000.

The previous prime is 220114093. The next prime is 220114121. The reversal of 220114100 is 1411022.

It can be written as a sum of positive squares in 6 ways, for example, as 74718736 + 145395364 = 8644^2 + 12058^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12020 + ... + 24180.

Almost surely, 2^220114100 is an apocalyptic number.

220114100 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 220114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240163014).

220114100 is an abundant number, since it is smaller than the sum of its proper divisors (260211928).

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

220114100 is a wasteful number, since it uses less digits than its factorization.

220114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12356 (or 12349 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 220114100 is about 14836.2427858269. The cubic root of 220114100 is about 603.7854192950.

Adding to 220114100 its reverse (1411022), we get a palindrome (221525122).

The spelling of 220114100 in words is "two hundred twenty million, one hundred fourteen thousand, one hundred".