2225600 has 84 divisors (see below), whose sum is σ = 5952744. Its totient is φ = 814080.

The previous prime is 2225599. The next prime is 2225621. The reversal of 2225600 is 65222.

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, 20747 + ... + 20853.

It is an arithmetic number, because the mean of its divisors is an integer number (70866).

2^2225600 is an apocalyptic number.

2225600 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 2225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2976372).

2225600 is an abundant number, since it is smaller than the sum of its proper divisors (3727144).

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

2225600 is a wasteful number, since it uses less digits than its factorization.

2225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2225600 is about 1491.8444959177. The cubic root of 2225600 is about 130.5616723322.

The spelling of 2225600 in words is "two million, two hundred twenty-five thousand, six hundred".