225512064 has 96 divisors (see below), whose sum is σ = 683155200. Its totient is φ = 71207424.

The previous prime is 225512051. The next prime is 225512087. The reversal of 225512064 is 460215522.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16737 + ... + 27039.

It is an arithmetic number, because the mean of its divisors is an integer number (7116200).

Almost surely, 2^225512064 is an apocalyptic number.

225512064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225512064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341577600).

225512064 is an abundant number, since it is smaller than the sum of its proper divisors (457643136).

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

225512064 is a wasteful number, since it uses less digits than its factorization.

225512064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10342 (or 10327 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 225512064 is about 15017.0590995707. The cubic root of 225512064 is about 608.6812539250.

Adding to 225512064 its reverse (460215522), we get a palindrome (685727586).

The spelling of 225512064 in words is "two hundred twenty-five million, five hundred twelve thousand, sixty-four".