225240064 has 99 divisors (see below), whose sum is σ = 531706203. Its totient is φ = 95090688.

The previous prime is 225240061. The next prime is 225240073. The reversal of 225240064 is 460042522.

The square root of 225240064 is 15008.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (225240061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3361759 + ... + 3361825.

Almost surely, 2^225240064 is an apocalyptic number.

225240064 is the 15008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225240064

225240064 is an abundant number, since it is smaller than the sum of its proper divisors (306466139).

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

225240064 is an frugal number, since it uses more digits than its factorization.

225240064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The cubic root of 225240064 is about 608.4364364101.

Multiplying 225240064 by its sum of digits (25), we get a square (5631001600 = 75040²).

Adding to 225240064 its reverse (460042522), we get a palindrome (685282586).

The spelling of 225240064 in words is "two hundred twenty-five million, two hundred forty thousand, sixty-four".