225300528 has 100 divisors (see below), whose sum is σ = 655554768. Its totient is φ = 74701440.

The previous prime is 225300487. The next prime is 225300533. The reversal of 225300528 is 825003522.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 340518 + ... + 341178.

Almost surely, 2^225300528 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 225300528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327777384).

225300528 is an abundant number, since it is smaller than the sum of its proper divisors (430254240).

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

225300528 is a wasteful number, since it uses less digits than its factorization.

225300528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 225300528 is about 15010.0142571551. The cubic root of 225300528 is about 608.4908749332.

The spelling of 225300528 in words is "two hundred twenty-five million, three hundred thousand, five hundred twenty-eight".