225256800 has 144 divisors (see below), whose sum is σ = 776481552. Its totient is φ = 56524800.

The previous prime is 225256793. The next prime is 225256813. The reversal of 225256800 is 8652522.

It is a super-4 number, since 4×225256800⁴ (a number of 35 digits) contains 4444 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38040 + ... + 43560.

It is an arithmetic number, because the mean of its divisors is an integer number (5392233).

Almost surely, 2^225256800 is an apocalyptic number.

225256800 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 225256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388240776).

225256800 is an abundant number, since it is smaller than the sum of its proper divisors (551224752).

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

225256800 is a wasteful number, since it uses less digits than its factorization.

225256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5561 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 225256800 is about 15008.5575589395. The cubic root of 225256800 is about 608.4515055765.

The spelling of 225256800 in words is "two hundred twenty-five million, two hundred fifty-six thousand, eight hundred".