225108288 has 224 divisors, whose sum is σ = 716889600. Its totient is φ = 69009408.

The previous prime is 225108287. The next prime is 225108293. The reversal of 225108288 is 882801522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225108287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2320656 + ... + 2320752.

It is an arithmetic number, because the mean of its divisors is an integer number (3200400).

Almost surely, 2^225108288 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 225108288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358444800).

225108288 is an abundant number, since it is smaller than the sum of its proper divisors (491781312).

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

225108288 is a wasteful number, since it uses less digits than its factorization.

225108288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 225108288 is about 15003.6091657974. The cubic root of 225108288 is about 608.3177586471.

The spelling of 225108288 in words is "two hundred twenty-five million, one hundred eight thousand, two hundred eighty-eight".