Can You Make Any Number Using Only Four 2s?

I'm back after a nice long catnap. This is just a quick video I made for 3Blue1Brown's Summer of Math Exposition 5 (SoME5) contest. Take exactly four copies of the digit 2. Using mathematical operations, how many different numbers can you make? Sources used: --------------------------------------------------------------------------------------------------------------------------- Making any integer with four 2s. Eli Benderskys website ATOM. (n.d.). https://eli.thegreenplace.net/2025/ma... Music Used (With Permission) --------------------------------------------------------------------------------------------------------------------------- Tenderly - Walter Gross - Performed by Budo Saurus --------------------------------------------------------------------------------------------------------------------------- You can find other performances by Budo Saurus here: /@budosaurus #SoME5