2218100 has 36 divisors (see below), whose sum is σ = 4939788. Its totient is φ = 864000.

The previous prime is 2218093. The next prime is 2218121. The reversal of 2218100 is 18122.

It can be written as a sum of positive squares in 6 ways, for example, as 465124 + 1752976 = 682^2 + 1324^2 .

It is a super-2 number, since 2×2218100² = 9839935220000, which contains 22 as substring.

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, 3830 + ... + 4370.

2^2218100 is an apocalyptic number.

2218100 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 2218100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469894).

2218100 is an abundant number, since it is smaller than the sum of its proper divisors (2721688).

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

2218100 is a wasteful number, since it uses less digits than its factorization.

2218100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 2218100 is about 1489.3287078412. The cubic root of 2218100 is about 130.4148483224.

The spelling of 2218100 in words is "two million, two hundred eighteen thousand, one hundred".