2225160 has 96 divisors (see below), whose sum is σ = 8274240. Its totient is φ = 508032.

The previous prime is 2225159. The next prime is 2225173. The reversal of 2225160 is 615222.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2079 + ... + 2961.

It is an arithmetic number, because the mean of its divisors is an integer number (86190).

2^2225160 is an apocalyptic number.

2225160 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 2225160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4137120).

2225160 is an abundant number, since it is smaller than the sum of its proper divisors (6049080).

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

2225160 is a wasteful number, since it uses less digits than its factorization.

2225160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2225160 is about 1491.6970201753. The cubic root of 2225160 is about 130.5530677728.

The spelling of 2225160 in words is "two million, two hundred twenty-five thousand, one hundred sixty".