I cannot get my engine anywhere near 2249 C.
You'd know if you did from the iron and aluminium vapour coming out of the cowling. Your toes would probably be quite warm too.
I agree with Alpine Flyer. I can tell you that the factory engine instruments in my 182 are completely, utterly useless. There are people out there who tell you to keep CHT below 400 and even 380. I have a friend who practically declared an emergency when one CHT hit 381. Personally I try to keep them below 400 and actively keep the hottest cylinder (#3 and #4 always run hotter for some reason) below 410. That means keeping the cowl flaps open to the first notch if the OAT is warm.