3006224 has 40 divisors (see below), whose sum is σ = 6379800. Its totient is φ = 1363968.

The previous prime is 3006193. The next prime is 3006233. The reversal of 3006224 is 4226003.

It can be written as a sum of positive squares in 4 ways, for example, as 6400 + 2999824 = 80^2 + 1732^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20102 + ... + 20250.

It is an arithmetic number, because the mean of its divisors is an integer number (159495).

Almost surely, 2^3006224 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 3006224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189900).

3006224 is an abundant number, since it is smaller than the sum of its proper divisors (3373576).

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

3006224 is a wasteful number, since it uses less digits than its factorization.

3006224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3006224 is about 1733.8465906763. The cubic root of 3006224 is about 144.3246277050.

The spelling of 3006224 in words is "three million, six thousand, two hundred twenty-four".