225827008 has 56 divisors (see below), whose sum is σ = 514624320. Its totient is φ = 97240320.

The previous prime is 225826999. The next prime is 225827009. The reversal of 225827008 is 800728522.

225827008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (225827009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4935 + ... + 21817.

It is an arithmetic number, because the mean of its divisors is an integer number (9189720).

Almost surely, 2^225827008 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 225827008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257312160).

225827008 is an abundant number, since it is smaller than the sum of its proper divisors (288797312).

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

225827008 is a wasteful number, since it uses less digits than its factorization.

225827008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16925 (or 16915 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 225827008 is about 15027.5416485864. The cubic root of 225827008 is about 608.9644779994.

The spelling of 225827008 in words is "two hundred twenty-five million, eight hundred twenty-seven thousand, eight".