225421560 has 288 divisors, whose sum is σ = 918721440. Its totient is φ = 47513088.

The previous prime is 225421531. The next prime is 225421579. The reversal of 225421560 is 65124522.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 228829 + ... + 229811.

It is an arithmetic number, because the mean of its divisors is an integer number (3190005).

Almost surely, 2^225421560 is an apocalyptic number.

225421560 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 225421560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459360720).

225421560 is an abundant number, since it is smaller than the sum of its proper divisors (693299880).

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

225421560 is a wasteful number, since it uses less digits than its factorization.

225421560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 225421560 is about 15014.0454242020. The cubic root of 225421560 is about 608.5998163612.

The spelling of 225421560 in words is "two hundred twenty-five million, four hundred twenty-one thousand, five hundred sixty".