225121560 has 64 divisors (see below), whose sum is σ = 683942400. Its totient is φ = 59270016.

The previous prime is 225121549. The next prime is 225121573. The reversal of 225121560 is 65121522.

It is a happy number.

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 225121560.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2394 + ... + 21353.

It is an arithmetic number, because the mean of its divisors is an integer number (10686600).

Almost surely, 2^225121560 is an apocalyptic number.

225121560 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 225121560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341971200).

225121560 is an abundant number, since it is smaller than the sum of its proper divisors (458820840).

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

225121560 is a wasteful number, since it uses less digits than its factorization.

225121560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23840 (or 23836 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 225121560 is about 15004.0514528577. The cubic root of 225121560 is about 608.3297135374.

The spelling of 225121560 in words is "two hundred twenty-five million, one hundred twenty-one thousand, five hundred sixty".