225044160 has 224 divisors, whose sum is σ = 790919424. Its totient is φ = 53760000.

The previous prime is 225044137. The next prime is 225044173. The reversal of 225044160 is 61440522.

225044160 is digitally balanced in base 2 and base 3, because in such bases 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 225044160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1066455 + ... + 1066665.

Almost surely, 2^225044160 is an apocalyptic number.

225044160 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 225044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395459712).

225044160 is an abundant number, since it is smaller than the sum of its proper divisors (565875264).

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

225044160 is a wasteful number, since it uses less digits than its factorization.

225044160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 225044160 is about 15001.4719277810. The cubic root of 225044160 is about 608.2599880715.

Adding to 225044160 its reverse (61440522), we get a palindrome (286484682).

The spelling of 225044160 in words is "two hundred twenty-five million, forty-four thousand, one hundred sixty".