225219960 has 256 divisors, whose sum is σ = 886579200. Its totient is φ = 49818240.

The previous prime is 225219931. The next prime is 225219983. The reversal of 225219960 is 69912522.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 7265145 + ... + 7265175.

It is an arithmetic number, because the mean of its divisors is an integer number (3463200).

Almost surely, 2^225219960 is an apocalyptic number.

225219960 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 225219960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443289600).

225219960 is an abundant number, since it is smaller than the sum of its proper divisors (661359240).

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

225219960 is an equidigital number, since it uses as much as digits as its factorization.

225219960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 225219960 is about 15007.3302089346. The cubic root of 225219960 is about 608.4183336951.

The spelling of 225219960 in words is "two hundred twenty-five million, two hundred nineteen thousand, nine hundred sixty".