224287056 has 280 divisors, whose sum is σ = 774158784. Its totient is φ = 61585920.

The previous prime is 224287051. The next prime is 224287067. The reversal of 224287056 is 650782422.

224287056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 224287056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224287051) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3347535 + ... + 3347601.

Almost surely, 2^224287056 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 224287056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387079392).

224287056 is an abundant number, since it is smaller than the sum of its proper divisors (549871728).

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

224287056 is an equidigital number, since it uses as much as digits as its factorization.

224287056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 224287056 is about 14976.2163445912. The cubic root of 224287056 is about 607.5771095537.

It can be divided in two parts, 2242 and 87056, that added together give a palindrome (89298).

The spelling of 224287056 in words is "two hundred twenty-four million, two hundred eighty-seven thousand, fifty-six".