Not Being dealt AA for 1500 hands

[LetYouDown]

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I believe the odds to get AA is every 225 or 227 hands.

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The probability of getting A-A is C(4,2)/C(52,2) or 1/221.
The odds of getting A-A are 220 to 1.

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So you should get it 6 times in 1500 hands.

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This turns out to be correct, the max of the BINOMDIST function occurs at 6.

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The odds to flop a set are 8.5-1, 2 in every 17 hands, 3 in 25.

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If by "set" you mean any flop containing at least one more of your card:

1 - C(48,3)/C(50,3) = 11.755% or ~1/8.51 or 7.5 to 1