225128160 has 240 divisors, whose sum is σ = 823284000. Its totient is φ = 57867264.

The previous prime is 225128147. The next prime is 225128203. The reversal of 225128160 is 61821522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 375541 + ... + 376139.

It is an arithmetic number, because the mean of its divisors is an integer number (3430350).

Almost surely, 2^225128160 is an apocalyptic number.

225128160 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 225128160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411642000).

225128160 is an abundant number, since it is smaller than the sum of its proper divisors (598155840).

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

225128160 is a wasteful number, since it uses less digits than its factorization.

225128160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 225128160 is about 15004.2713918404. The cubic root of 225128160 is about 608.3356583802.

Adding to 225128160 its reverse (61821522), we get a palindrome (286949682).

The spelling of 225128160 in words is "two hundred twenty-five million, one hundred twenty-eight thousand, one hundred sixty".