2225952 has 72 divisors (see below), whose sum is σ = 6486480. Its totient is φ = 723840.

The previous prime is 2225887. The next prime is 2225959. The reversal of 2225952 is 2595222.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (2225959) 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, 16927 + ... + 17057.

It is an arithmetic number, because the mean of its divisors is an integer number (90090).

2^2225952 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 2225952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243240).

2225952 is an abundant number, since it is smaller than the sum of its proper divisors (4260528).

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

2225952 is a wasteful number, since it uses less digits than its factorization.

2225952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 195 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2225952 is about 1491.9624660158. The cubic root of 2225952 is about 130.5685551632.

The spelling of 2225952 in words is "two million, two hundred twenty-five thousand, nine hundred fifty-two".