225820848 has 120 divisors (see below), whose sum is σ = 653083200. Its totient is φ = 67168640.

The previous prime is 225820817. The next prime is 225820891. The reversal of 225820848 is 848028522.

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 23 ways as a sum of consecutive naturals, for example, 342343 + ... + 343001.

It is an arithmetic number, because the mean of its divisors is an integer number (5442360).

Almost surely, 2^225820848 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 225820848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326541600).

225820848 is an abundant number, since it is smaller than the sum of its proper divisors (427262352).

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

225820848 is a wasteful number, since it uses less digits than its factorization.

225820848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 225820848 is about 15027.3366901790. The cubic root of 225820848 is about 608.9589409362.

The spelling of 225820848 in words is "two hundred twenty-five million, eight hundred twenty thousand, eight hundred forty-eight".