225563544 has 96 divisors (see below), whose sum is σ = 631865520. Its totient is φ = 72638208.

The previous prime is 225563491. The next prime is 225563567. The reversal of 225563544 is 445365522.

225563544 is a `hidden beast` number, since 2 + 2 + 55 + 63 + 544 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 225563499 and 225563508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604542 + ... + 604914.

Almost surely, 2^225563544 is an apocalyptic number.

225563544 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 225563544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315932760).

225563544 is an abundant number, since it is smaller than the sum of its proper divisors (406301976).

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

225563544 is a wasteful number, since it uses less digits than its factorization.

225563544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 642 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 225563544 is about 15018.7730524168. The cubic root of 225563544 is about 608.7275670820.

The spelling of 225563544 in words is "two hundred twenty-five million, five hundred sixty-three thousand, five hundred forty-four".