.224 is the correct nominal size bullet for most all ".22" caliber centerfire rounds - from .218 Bee to the .225 Winchester.
True, they were actually .223. And that is why I used the adverb 'most' to modify 'all'. There are several other examples such as 22 Jet (.223), 22 Newton (.228). But, by and large, most modern commercially available centerfire cartridges in 22 caliber use .224 bullets.Except for older .22 Hornet
Montana Gold has a 55gr FMJ-BT in .224 dia for the .223 Remington. Just over $218 for a case of 3500. Price includes shipping but add $5 to ship to a residence. (Tip: ship to a friendly business and pick up there).