225248544 has 36 divisors (see below), whose sum is σ = 640551366. Its totient is φ = 75082752.

The previous prime is 225248533. The next prime is 225248549. The reversal of 225248544 is 445842522.

225248544 is a `hidden beast` number, since 22 + 52 + 48 + 544 = 666.

It can be written as a sum of positive squares in only one way, i.e., 224640144 + 608400 = 14988^2 + 780^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 = 225248499 and 225248508.

It is not an unprimeable number, because it can be changed into a prime (225248549) 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 5 ways as a sum of consecutive naturals, for example, 390769 + ... + 391344.

Almost surely, 2^225248544 is an apocalyptic number.

225248544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225248544 is an abundant number, since it is smaller than the sum of its proper divisors (415302822).

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

225248544 is a wasteful number, since it uses less digits than its factorization.

225248544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782129 (or 782118 counting only the distinct ones).

The product of its digits is 102400, while the sum is 36.

The square root of 225248544 is about 15008.2825133324. The cubic root of 225248544 is about 608.4440719319. Note that the first 3 decimals are identical.

The spelling of 225248544 in words is "two hundred twenty-five million, two hundred forty-eight thousand, five hundred forty-four".