Unless I'm mistaken, aperture and focal length are not related. Focal length and distance from lens to sensor ARE related. Happy to be corrected, very much an amateur photographer.
It's like tire sizes: 265/75r16. The first number is absolute, actual mm just like focal length. The second number is a ratio based off the width, just like aperture.
Or in money terms, a 2.2 lens is so small in a cell phone (with a focal length of only a few mm), the entire phone is under $1k. A 2.2 lens is so large with a focal length above say 300mm, they cost many thousands and are a rare specialty item.