225502272 has 112 divisors (see below), whose sum is σ = 681045120. Its totient is φ = 73115136.

The previous prime is 225502259. The next prime is 225502301. The reversal of 225502272 is 272205522.

225502272 is a `hidden beast` number, since 22 + 550 + 22 + 72 = 666.

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

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 15 ways as a sum of consecutive naturals, for example, 62173 + ... + 65699.

It is an arithmetic number, because the mean of its divisors is an integer number (6080760).

Almost surely, 2^225502272 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 225502272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340522560).

225502272 is an abundant number, since it is smaller than the sum of its proper divisors (455542848).

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

225502272 is a wasteful number, since it uses less digits than its factorization.

225502272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3585 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 225502272 is about 15016.7330668158. The cubic root of 225502272 is about 608.6724439113.

Adding to 225502272 its reverse (272205522), we get a palindrome (497707794).

The spelling of 225502272 in words is "two hundred twenty-five million, five hundred two thousand, two hundred seventy-two".