2228200 has 48 divisors (see below), whose sum is σ = 5585580. Its totient is φ = 821760.

The previous prime is 2228189. The next prime is 2228201. The reversal of 2228200 is 28222.

It can be written as a sum of positive squares in 6 ways, for example, as 933156 + 1295044 = 966^2 + 1138^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2228201) 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, 2172 + ... + 3028.

2^2228200 is an apocalyptic number.

2228200 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 2228200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792790).

2228200 is an abundant number, since it is smaller than the sum of its proper divisors (3357380).

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

2228200 is a wasteful number, since it uses less digits than its factorization.

2228200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2228200 is about 1492.7156460626. The cubic root of 2228200 is about 130.6124943195.

The spelling of 2228200 in words is "two million, two hundred twenty-eight thousand, two hundred".