225753472 has 64 divisors (see below), whose sum is σ = 544263840. Its totient is φ = 91054080.

The previous prime is 225753469. The next prime is 225753491. The reversal of 225753472 is 274357522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7822 + ... + 22642.

Almost surely, 2^225753472 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 225753472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272131920).

225753472 is an abundant number, since it is smaller than the sum of its proper divisors (318510368).

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

225753472 is a wasteful number, since it uses less digits than its factorization.

225753472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14859 (or 14847 counting only the distinct ones).

The product of its digits is 117600, while the sum is 37.

The square root of 225753472 is about 15025.0947417978. The cubic root of 225753472 is about 608.8983718329.

The spelling of 225753472 in words is "two hundred twenty-five million, seven hundred fifty-three thousand, four hundred seventy-two".