2216100 has 72 divisors (see below), whose sum is σ = 6562080. Its totient is φ = 577280.

The previous prime is 2216087. The next prime is 2216101. The reversal of 2216100 is 16122.

It is a super-2 number, since 2×2216100² = 9822198420000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24856 + ... + 24944.

It is an arithmetic number, because the mean of its divisors is an integer number (91140).

2^2216100 is an apocalyptic number.

2216100 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 2216100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3281040).

2216100 is an abundant number, since it is smaller than the sum of its proper divisors (4345980).

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

2216100 is a wasteful number, since it uses less digits than its factorization.

2216100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 182 counting only the distinct ones).

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

The square root of 2216100 is about 1488.6571129713. The cubic root of 2216100 is about 130.3756393702.

The spelling of 2216100 in words is "two million, two hundred sixteen thousand, one hundred".