225970560 has 192 divisors, whose sum is σ = 809761680. Its totient is φ = 60217344.

The previous prime is 225970543. The next prime is 225970603. The reversal of 225970560 is 65079522.

225970560 is a `hidden beast` number, since 2 + 2 + 5 + 97 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154794 + ... + 156246.

Almost surely, 2^225970560 is an apocalyptic number.

225970560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404880840).

225970560 is an abundant number, since it is smaller than the sum of its proper divisors (583791120).

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

225970560 is an equidigital number, since it uses as much as digits as its factorization.

225970560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 225970560 is about 15032.3171866482. The cubic root of 225970560 is about 609.0934846418.

The spelling of 225970560 in words is "two hundred twenty-five million, nine hundred seventy thousand, five hundred sixty".