225027264 has 224 divisors, whose sum is σ = 767803392. Its totient is φ = 56448000.

The previous prime is 225027251. The next prime is 225027287. The reversal of 225027264 is 462720522.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458059 + ... + 458549.

Almost surely, 2^225027264 is an apocalyptic number.

225027264 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 225027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383901696).

225027264 is an abundant number, since it is smaller than the sum of its proper divisors (542776128).

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

225027264 is a wasteful number, since it uses less digits than its factorization.

225027264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 225027264 is about 15000.9087724711. The cubic root of 225027264 is about 608.2447652548.

Adding to 225027264 its reverse (462720522), we get a palindrome (687747786).

The spelling of 225027264 in words is "two hundred twenty-five million, twenty-seven thousand, two hundred sixty-four".