3000224 has 48 divisors (see below), whose sum is σ = 6327720. Its totient is φ = 1397760.

The previous prime is 3000223. The next prime is 3000229. The reversal of 3000224 is 4220003.

3000224 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2131600 + 868624 = 1460^2 + 932^2 .

It is not an unprimeable number, because it can be changed into a prime (3000223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49154 + ... + 49214.

Almost surely, 2^3000224 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 3000224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163860).

3000224 is an abundant number, since it is smaller than the sum of its proper divisors (3327496).

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

3000224 is a wasteful number, since it uses less digits than its factorization.

3000224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 3000224 is about 1732.1154695920. The cubic root of 3000224 is about 144.2285465403.

Adding to 3000224 its reverse (4220003), we get a palindrome (7220227).

The spelling of 3000224 in words is "three million, two hundred twenty-four", and thus it is an aban number.