224647328 has 48 divisors (see below), whose sum is σ = 458470656. Its totient is φ = 108241920.

The previous prime is 224647321. The next prime is 224647343. The reversal of 224647328 is 823746422.

It is a junction number, because it is equal to n+sod(n) for n = 224647291 and 224647300.

It is not an unprimeable number, because it can be changed into a prime (224647321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 429275 + ... + 429797.

It is an arithmetic number, because the mean of its divisors is an integer number (9551472).

Almost surely, 2^224647328 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 224647328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229235328).

224647328 is an abundant number, since it is smaller than the sum of its proper divisors (233823328).

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

224647328 is a wasteful number, since it uses less digits than its factorization.

224647328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 989 counting only the distinct ones).

The product of its digits is 129024, while the sum is 38.

The square root of 224647328 is about 14988.2396564773. The cubic root of 224647328 is about 607.9022522916.

It can be divided in two parts, 22464 and 7328, that added together give a palindrome (29792).

The spelling of 224647328 in words is "two hundred twenty-four million, six hundred forty-seven thousand, three hundred twenty-eight".