225858064 has 60 divisors (see below), whose sum is σ = 465562092. Its totient is φ = 106064640.

The previous prime is 225858047. The next prime is 225858067. The reversal of 225858064 is 460858522.

225858064 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 179345664 + 46512400 = 13392^2 + 6820^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (225858067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 568714 + ... + 569110.

Almost surely, 2^225858064 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 225858064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232781046).

225858064 is an abundant number, since it is smaller than the sum of its proper divisors (239704028).

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

225858064 is a wasteful number, since it uses less digits than its factorization.

225858064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 225858064 is about 15028.5749158062. The cubic root of 225858064 is about 608.9923918941.

The spelling of 225858064 in words is "two hundred twenty-five million, eight hundred fifty-eight thousand, sixty-four".