225593280 has 168 divisors, whose sum is σ = 846606384. Its totient is φ = 54681600.

The previous prime is 225593257. The next prime is 225593317. The reversal of 225593280 is 82395522.

225593280 is a `hidden beast` number, since 22 + 559 + 3 + 2 + 80 = 666.

225593280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 23 ways as a sum of consecutive naturals, for example, 28120 + ... + 35240.

Almost surely, 2^225593280 is an apocalyptic number.

225593280 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 225593280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423303192).

225593280 is an abundant number, since it is smaller than the sum of its proper divisors (621013104).

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

225593280 is a wasteful number, since it uses less digits than its factorization.

225593280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7155 (or 7142 counting only the distinct ones).

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

The square root of 225593280 is about 15019.7629808196. The cubic root of 225593280 is about 608.7543153872.

It can be divided in two parts, 225 and 593280, that added together give a triangular number (593505 = T₁₀₈₉).

The spelling of 225593280 in words is "two hundred twenty-five million, five hundred ninety-three thousand, two hundred eighty".