225893520 has 60 divisors (see below), whose sum is σ = 758628156. Its totient is φ = 60238080.

The previous prime is 225893519. The next prime is 225893531. The reversal of 225893520 is 25398522.

225893520 is a `hidden beast` number, since 22 + 589 + 3 + 52 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 134652816 + 91240704 = 11604^2 + 9552^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156151 + ... + 157590.

Almost surely, 2^225893520 is an apocalyptic number.

225893520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225893520 is an abundant number, since it is smaller than the sum of its proper divisors (532734636).

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

225893520 is a wasteful number, since it uses less digits than its factorization.

225893520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313760 (or 313751 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 225893520 is about 15029.7544890128. The cubic root of 225893520 is about 609.0242574886.

The spelling of 225893520 in words is "two hundred twenty-five million, eight hundred ninety-three thousand, five hundred twenty".