224296368 has 240 divisors, whose sum is σ = 694360320. Its totient is φ = 62042112.

The previous prime is 224296357. The next prime is 224296381. The reversal of 224296368 is 863692422.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6062046 + ... + 6062082.

It is an arithmetic number, because the mean of its divisors is an integer number (2893168).

Almost surely, 2^224296368 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 224296368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347180160).

224296368 is an abundant number, since it is smaller than the sum of its proper divisors (470063952).

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

224296368 is a wasteful number, since it uses less digits than its factorization.

224296368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 224296368 is about 14976.5272343090. The cubic root of 224296368 is about 607.5855179446.

The spelling of 224296368 in words is "two hundred twenty-four million, two hundred ninety-six thousand, three hundred sixty-eight".