225323560 has 128 divisors (see below), whose sum is σ = 645408000. Its totient is φ = 70183680.

The previous prime is 225323551. The next prime is 225323561. The reversal of 225323560 is 65323522.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (225323561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 150174 + ... + 151666.

It is an arithmetic number, because the mean of its divisors is an integer number (5042250).

Almost surely, 2^225323560 is an apocalyptic number.

225323560 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 225323560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322704000).

225323560 is an abundant number, since it is smaller than the sum of its proper divisors (420084440).

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

225323560 is a wasteful number, since it uses less digits than its factorization.

225323560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 225323560 is about 15010.7814586716. The cubic root of 225323560 is about 608.5116091416.

The spelling of 225323560 in words is "two hundred twenty-five million, three hundred twenty-three thousand, five hundred sixty".