225953280 has 320 divisors, whose sum is σ = 919226880. Its totient is φ = 51535872.

The previous prime is 225953269. The next prime is 225953293. The reversal of 225953280 is 82359522.

225953280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

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 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, 483607 + ... + 484073.

It is an arithmetic number, because the mean of its divisors is an integer number (2872584).

Almost surely, 2^225953280 is an apocalyptic number.

225953280 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 225953280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459613440).

225953280 is an abundant number, since it is smaller than the sum of its proper divisors (693273600).

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

225953280 is an equidigital number, since it uses as much as digits as its factorization.

225953280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 225953280 is about 15031.7424139718. The cubic root of 225953280 is about 609.0779584250.

The spelling of 225953280 in words is "two hundred twenty-five million, nine hundred fifty-three thousand, two hundred eighty".