225225210 has 64 divisors (see below), whose sum is σ = 621073152. Its totient is φ = 51204096.

The previous prime is 225225181. The next prime is 225225211. The reversal of 225225210 is 12522522.

225225210 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (225225211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37752 + ... + 43308.

It is an arithmetic number, because the mean of its divisors is an integer number (9704268).

Almost surely, 2^225225210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225225210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310536576).

225225210 is an abundant number, since it is smaller than the sum of its proper divisors (395847942).

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

225225210 is a wasteful number, since it uses less digits than its factorization.

225225210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5767.

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 225225210 is about 15007.5051224379. The cubic root of 225225210 is about 608.4230611793.

Adding to 225225210 its reverse (12522522), we get a palindrome (237747732).

The spelling of 225225210 in words is "two hundred twenty-five million, two hundred twenty-five thousand, two hundred ten".