225681120 has 384 divisors, whose sum is σ = 958003200. Its totient is φ = 48439296.

The previous prime is 225681101. The next prime is 225681139. The reversal of 225681120 is 21186522.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (225681101) and next prime (225681139).

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 63 ways as a sum of consecutive naturals, for example, 513861 + ... + 514299.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^225681120 is an apocalyptic number.

225681120 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 225681120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479001600).

225681120 is an abundant number, since it is smaller than the sum of its proper divisors (732322080).

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

225681120 is a wasteful number, since it uses less digits than its factorization.

225681120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

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

The square root of 225681120 is about 15022.6868435710. The cubic root of 225681120 is about 608.8333160269.

The spelling of 225681120 in words is "two hundred twenty-five million, six hundred eighty-one thousand, one hundred twenty".