225783264 has 96 divisors (see below), whose sum is σ = 686085120. Its totient is φ = 63677952.

The previous prime is 225783247. The next prime is 225783301. The reversal of 225783264 is 462387522.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50962 + ... + 55214.

It is an arithmetic number, because the mean of its divisors is an integer number (7146720).

Almost surely, 2^225783264 is an apocalyptic number.

225783264 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 225783264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343042560).

225783264 is an abundant number, since it is smaller than the sum of its proper divisors (460301856).

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

225783264 is a wasteful number, since it uses less digits than its factorization.

225783264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4352 (or 4344 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 225783264 is about 15026.0861171497. The cubic root of 225783264 is about 608.9251554776.

The spelling of 225783264 in words is "two hundred twenty-five million, seven hundred eighty-three thousand, two hundred sixty-four".