224326656 has 132 divisors (see below), whose sum is σ = 656865924. Its totient is φ = 73728000.

The previous prime is 224326651. The next prime is 224326667. The reversal of 224326656 is 656623422.

It can be written as a sum of positive squares in 2 ways, for example, as 196448256 + 27878400 = 14016^2 + 5280^2 .

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 224326656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224326651) 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 11 ways as a sum of consecutive naturals, for example, 930696 + ... + 930936.

It is an arithmetic number, because the mean of its divisors is an integer number (4976257).

Almost surely, 2^224326656 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 224326656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328432962).

224326656 is an abundant number, since it is smaller than the sum of its proper divisors (432539268).

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

224326656 is a wasteful number, since it uses less digits than its factorization.

224326656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 347 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 224326656 is about 14977.5383825247. The cubic root of 224326656 is about 607.6128652769.

The spelling of 224326656 in words is "two hundred twenty-four million, three hundred twenty-six thousand, six hundred fifty-six".