KöMaL 2018 B4948

The positive integer $n$ is said to be chunky if it has a prime factor greater than $\sqrt{n}$. For example, $2017$ (a prime number), $2018=2\cdot 1009$ and $2022=2\cdot3\cdot 337$ are chunky, while $2023=7\cdot 17^2$ is not. How many chunky numbers are there which only have prime factors less than 30?