225753570 has 96 divisors (see below), whose sum is σ = 673650432. Its totient is φ = 51382656.

The previous prime is 225753559. The next prime is 225753571. The reversal of 225753570 is 75357522.

It is a happy number.

225753570 is a `hidden beast` number, since 2 + 2 + 57 + 535 + 70 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (225753571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183979 + ... + 185201.

It is an arithmetic number, because the mean of its divisors is an integer number (7017192).

Almost surely, 2^225753570 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225753570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336825216).

225753570 is an abundant number, since it is smaller than the sum of its proper divisors (447896862).

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

225753570 is a wasteful number, since it uses less digits than its factorization.

225753570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1536 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 73500, while the sum is 36.

The square root of 225753570 is about 15025.0980030082. The cubic root of 225753570 is about 608.8984599409.

The spelling of 225753570 in words is "two hundred twenty-five million, seven hundred fifty-three thousand, five hundred seventy".