2225568 has 48 divisors (see below), whose sum is σ = 5927040. Its totient is φ = 731136.

The previous prime is 2225567. The next prime is 2225569. The reversal of 2225568 is 8655222.

It is an interprime number because it is at equal distance from previous prime (2225567) and next prime (2225569).

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 2¹⁰ + 2¹¹ + 2¹⁸ + 5⁵ + 5⁹ + 6 + 8⁴ .

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (2225563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9193 + ... + 9431.

It is an arithmetic number, because the mean of its divisors is an integer number (123480).

2^2225568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963520).

2225568 is an abundant number, since it is smaller than the sum of its proper divisors (3701472).

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

2225568 is a wasteful number, since it uses less digits than its factorization.

2225568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 341 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 2225568 is about 1491.8337709008. The cubic root of 2225568 is about 130.5610465843.

The spelling of 2225568 in words is "two million, two hundred twenty-five thousand, five hundred sixty-eight".