220116 has 48 divisors (see below), whose sum is σ = 592704. Its totient is φ = 62976.

The previous prime is 220063. The next prime is 220123. The reversal of 220116 is 611022.

220116 is a nontrivial binomial coefficient, being equal to C(664, 2).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 2611 + ... + 2693.

It is an arithmetic number, because the mean of its divisors is an integer number (12348).

2²²⁰¹¹⁶ is an apocalyptic number.

220116 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

220116 is the 663-rd triangular number and also the 332-nd hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296352).

220116 is an abundant number, since it is smaller than the sum of its proper divisors (372588).

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

220116 is a wasteful number, since it uses less digits than its factorization.

220116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 220116 is about 469.1652161020. The cubic root of 220116 is about 60.3787156559.

Adding to 220116 its reverse (611022), we get a palindrome (831138).

The spelling of 220116 in words is "two hundred twenty thousand, one hundred sixteen".