The Agony of Extraordinarily Huge numbers

19171531\huge 19^{17^{15^{\cdots^{3^{1}}}}}

Find the last 22 digits of the above number.

Details and Assumptions:

The powers of the next preceding number decreases by 22 starting from 1717 and ending off with 11.


Also, this question is taken from a local Mathematics competition.(Singapore)
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