224249856 has 192 divisors, whose sum is σ = 672235200. Its totient is φ = 66060288.

The previous prime is 224249821. The next prime is 224249867. The reversal of 224249856 is 658942422.

It is a tau number, because it is divible by the number of its divisors (192).

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 15 ways as a sum of consecutive naturals, for example, 1984456 + ... + 1984568.

It is an arithmetic number, because the mean of its divisors is an integer number (3501225).

Almost surely, 2^224249856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224249856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336117600).

224249856 is an abundant number, since it is smaller than the sum of its proper divisors (447985344).

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

224249856 is a wasteful number, since it uses less digits than its factorization.

224249856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 224249856 is about 14974.9743238511. The cubic root of 224249856 is about 607.5435170100.

The spelling of 224249856 in words is "two hundred twenty-four million, two hundred forty-nine thousand, eight hundred fifty-six".