2216800 has 72 divisors (see below), whose sum is σ = 5765256. Its totient is φ = 829440.

The previous prime is 2216777. The next prime is 2216803. The reversal of 2216800 is 86122.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13519 + ... + 13681.

It is an arithmetic number, because the mean of its divisors is an integer number (80073).

2^2216800 is an apocalyptic number.

2216800 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 2216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882628).

2216800 is an abundant number, since it is smaller than the sum of its proper divisors (3548456).

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

2216800 is a wasteful number, since it uses less digits than its factorization.

2216800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2216800 is about 1488.8922056348. The cubic root of 2216800 is about 130.3893651859.

It can be divided in two parts, 221 and 6800, that added together give a triangular number (7021 = T₁₁₈).

The spelling of 2216800 in words is "two million, two hundred sixteen thousand, eight hundred".