224004033 has 72 divisors (see below), whose sum is σ = 379065960. Its totient is φ = 127142400.

The previous prime is 224004013. The next prime is 224004037. The reversal of 224004033 is 330400422.

It can be written as a sum of positive squares in 4 ways, for example, as 28227969 + 195776064 = 5313^2 + 13992^2 .

It is not a de Polignac number, because 224004033 - 2⁸ = 224003777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224003997 and 224004015.

It is not an unprimeable number, because it can be changed into a prime (224004037) 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 71 ways as a sum of consecutive naturals, for example, 1294735 + ... + 1294907.

It is an arithmetic number, because the mean of its divisors is an integer number (5264805).

Almost surely, 2^224004033 is an apocalyptic number.

It is an amenable number.

224004033 is a deficient number, since it is larger than the sum of its proper divisors (155061927).

224004033 is a wasteful number, since it uses less digits than its factorization.

224004033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 224004033 is about 14966.7642795629. The cubic root of 224004033 is about 607.3214391638.

Adding to 224004033 its reverse (330400422), we get a palindrome (554404455).

The spelling of 224004033 in words is "two hundred twenty-four million, four thousand, thirty-three".