225312048 has 120 divisors (see below), whose sum is σ = 708725472. Its totient is φ = 66299904.

The previous prime is 225312041. The next prime is 225312103. The reversal of 225312048 is 840213522.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (225312041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40440 + ... + 45672.

Almost surely, 2^225312048 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 225312048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354362736).

225312048 is an abundant number, since it is smaller than the sum of its proper divisors (483413424).

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

225312048 is a wasteful number, since it uses less digits than its factorization.

225312048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5283 (or 5274 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 225312048 is about 15010.3979960559. The cubic root of 225312048 is about 608.5012458150.

The spelling of 225312048 in words is "two hundred twenty-five million, three hundred twelve thousand, forty-eight".