2225664 has 160 divisors (see below), whose sum is σ = 7856640. Its totient is φ = 608256.

The previous prime is 2225659. The next prime is 2225681. The reversal of 2225664 is 4665222.

2225664 = 28² + 29² + ... + 188².

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96757 + ... + 96779.

It is an arithmetic number, because the mean of its divisors is an integer number (49104).

2^2225664 is an apocalyptic number.

2225664 is a gapful number since it is divisible by the number (24) 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 2225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3928320).

2225664 is an abundant number, since it is smaller than the sum of its proper divisors (5630976).

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

2225664 is an equidigital number, since it uses as much as digits as its factorization.

2225664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 35 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2225664 is about 1491.8659457203. The cubic root of 2225664 is about 130.5629238100.

It can be divided in two parts, 222 and 5664, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 2225664 in words is "two million, two hundred twenty-five thousand, six hundred sixty-four".