225281280 has 432 divisors, whose sum is σ = 903611520. Its totient is φ = 46792704.

The previous prime is 225281261. The next prime is 225281299. The reversal of 225281280 is 82182522.

It is an interprime number because it is at equal distance from previous prime (225281261) and next prime (225281299).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7768306 + ... + 7768334.

Almost surely, 2^225281280 is an apocalyptic number.

225281280 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 225281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451805760).

225281280 is an abundant number, since it is smaller than the sum of its proper divisors (678330240).

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

225281280 is a wasteful number, since it uses less digits than its factorization.

225281280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 225281280 is about 15009.3730715177. The cubic root of 225281280 is about 608.4735461295.

The spelling of 225281280 in words is "two hundred twenty-five million, two hundred eighty-one thousand, two hundred eighty".