225135828 has 96 divisors (see below), whose sum is σ = 631411200. Its totient is φ = 69101568.

The previous prime is 225135803. The next prime is 225135829. The reversal of 225135828 is 828531522.

225135828 is a `hidden beast` number, since 22 + 51 + 3 + 582 + 8 = 666.

It is a super-2 number, since 2×225135828² = 101372282098491168, which contains 22 as substring.

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 = 225135792 and 225135801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225135829) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84988 + ... + 87596.

It is an arithmetic number, because the mean of its divisors is an integer number (6577200).

Almost surely, 2^225135828 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 225135828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315705600).

225135828 is an abundant number, since it is smaller than the sum of its proper divisors (406275372).

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

225135828 is a wasteful number, since it uses less digits than its factorization.

225135828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686 (or 2678 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 225135828 is about 15004.5269169008. The cubic root of 225135828 is about 608.3425650608.

The spelling of 225135828 in words is "two hundred twenty-five million, one hundred thirty-five thousand, eight hundred twenty-eight".