2225272 has 32 divisors (see below), whose sum is σ = 4838400. Its totient is φ = 939744.

The previous prime is 2225269. The next prime is 2225323. The reversal of 2225272 is 2725222.

It is a happy number.

2225272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4173 + ... + 4675.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

2^2225272 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 2225272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2419200).

2225272 is an abundant number, since it is smaller than the sum of its proper divisors (2613128).

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

2225272 is a wasteful number, since it uses less digits than its factorization.

2225272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 591 counting only the distinct ones).

The product of its digits is 1120, while the sum is 22.

The square root of 2225272 is about 1491.7345608385. The cubic root of 2225272 is about 130.5552581319. Note that the first 3 decimals are identical.

Multiplying 2225272 by its sum of digits (22), we get a palindrome (48955984).

The spelling of 2225272 in words is "two million, two hundred twenty-five thousand, two hundred seventy-two".