225209088 has 216 divisors, whose sum is σ = 715743392. Its totient is φ = 67682304.

The previous prime is 225209063. The next prime is 225209111. The reversal of 225209088 is 880902522.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2186445 + ... + 2186547.

Almost surely, 2^225209088 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 225209088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357871696).

225209088 is an abundant number, since it is smaller than the sum of its proper divisors (490534304).

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

225209088 is a wasteful number, since it uses less digits than its factorization.

225209088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 225209088 is about 15006.9679815744. The cubic root of 225209088 is about 608.4085435170.

The spelling of 225209088 in words is "two hundred twenty-five million, two hundred nine thousand, eighty-eight".