22 – amount of times we daven Shmone Esrei in a regular week, including Musof of Shabbos
22 – Perek 22 of Tehilim which Ester said on way to Achashvairosh
22 Tishray – Shmini Atzeres in Chutz la’aretz
Here’s another for 21 – if I’m wrong, please correct. 21 times in chutz la’aretz that we say Hallel Shalaim: 9 on Succos including Shmini Atzeres and Simchas Torah, 8 on Chanuka, 2 on Pesach (I’m referring to daytime davening on first two days of Yom Tov), and the two days of Shavuos.