225968128 has 40 divisors (see below), whose sum is σ = 452984400. Its totient is φ = 112721920.

The previous prime is 225968101. The next prime is 225968167. The reversal of 225968128 is 821869522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 524073 + ... + 524503.

It is an arithmetic number, because the mean of its divisors is an integer number (11324610).

Almost surely, 2^225968128 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 225968128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226492200).

225968128 is an abundant number, since it is smaller than the sum of its proper divisors (227016272).

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

225968128 is an frugal number, since it uses more digits than its factorization.

225968128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 433 counting only the distinct ones).

The product of its digits is 138240, while the sum is 43.

The square root of 225968128 is about 15032.2362940449. The cubic root of 225968128 is about 609.0912995184.

The spelling of 225968128 in words is "two hundred twenty-five million, nine hundred sixty-eight thousand, one hundred twenty-eight".