225737280 has 168 divisors, whose sum is σ = 805476672. Its totient is φ = 60175872.

The previous prime is 225737279. The next prime is 225737321. The reversal of 225737280 is 82737522.

It is a happy number.

225737280 is a `hidden beast` number, since 2 + 2 + 573 + 7 + 2 + 80 = 666.

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

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, 76309 + ... + 79211.

It is an arithmetic number, because the mean of its divisors is an integer number (4794504).

Almost surely, 2^225737280 is an apocalyptic number.

225737280 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 225737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402738336).

225737280 is an abundant number, since it is smaller than the sum of its proper divisors (579739392).

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

225737280 is an equidigital number, since it uses as much as digits as its factorization.

225737280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 225737280 is about 15024.5559002587. Note that the first 3 decimals coincide. The cubic root of 225737280 is about 608.8838138904.

It can be divided in two parts, 225 and 737280, that added together give a triangular number (737505 = T₁₂₁₄).

The spelling of 225737280 in words is "two hundred twenty-five million, seven hundred thirty-seven thousand, two hundred eighty".