225371160 has 320 divisors, whose sum is σ = 913017600. Its totient is φ = 48708864.

The previous prime is 225371131. The next prime is 225371173. The reversal of 225371160 is 61173522.

It is a happy number.

225371160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 430659 + ... + 431181.

It is an arithmetic number, because the mean of its divisors is an integer number (2853180).

Almost surely, 2^225371160 is an apocalyptic number.

225371160 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 225371160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456508800).

225371160 is an abundant number, since it is smaller than the sum of its proper divisors (687646440).

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

225371160 is a wasteful number, since it uses less digits than its factorization.

225371160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 225371160 is about 15012.3669019912. The cubic root of 225371160 is about 608.5544558420.

The spelling of 225371160 in words is "two hundred twenty-five million, three hundred seventy-one thousand, one hundred sixty".