225225252 has 96 divisors (see below), whose sum is σ = 690412800. Its totient is φ = 62125056.

The previous prime is 225225211. The next prime is 225225293. The reversal of 225225252 is 252522522.

It is an interprime number because it is at equal distance from previous prime (225225211) and next prime (225225293).

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16788 + ... + 27060.

It is an arithmetic number, because the mean of its divisors is an integer number (7191800).

Almost surely, 2^225225252 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 225225252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345206400).

225225252 is an abundant number, since it is smaller than the sum of its proper divisors (465187548).

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

225225252 is a wasteful number, since it uses less digits than its factorization.

225225252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10322 (or 10314 counting only the distinct ones).

The product of its digits is 8000, while the sum is 27.

The square root of 225225252 is about 15007.5065217377. The cubic root of 225225252 is about 608.4230989989.

Adding to 225225252 its reverse (252522522), we get a palindrome (477747774).

The spelling of 225225252 in words is "two hundred twenty-five million, two hundred twenty-five thousand, two hundred fifty-two".