33000224 has 24 divisors (see below), whose sum is σ = 65139228. Its totient is φ = 16456960.

The previous prime is 33000223. The next prime is 33000241. The reversal of 33000224 is 42200033.

It can be written as a sum of positive squares in 2 ways, for example, as 32855824 + 144400 = 5732^2 + 380^2 .

It is a junction number, because it is equal to n+sod(n) for n = 33000199 and 33000208.

It is not an unprimeable number, because it can be changed into a prime (33000223) 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 3 ways as a sum of consecutive naturals, for example, 13634 + ... + 15870.

Almost surely, 2^33000224 is an apocalyptic number.

It is an amenable number.

33000224 is a deficient number, since it is larger than the sum of its proper divisors (32139004).

33000224 is a wasteful number, since it uses less digits than its factorization.

33000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2708 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 33000224 is about 5744.5821432024. The cubic root of 33000224 is about 320.7541587431.

Adding to 33000224 its reverse (42200033), we get a palindrome (75200257).

The spelling of 33000224 in words is "thirty-three million, two hundred twenty-four", and thus it is an aban number.