As per table there aren't any less than or equal to 2^222 http://www.tsm-resources.com/alists/pow2.html …
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Inspired by a convo with @shahlock: what powers of 2 have a decimal representation that consists entirely of even digits? 2, 4, 8, 64, 2048 are the first few; are there more? Just like the previous problem I suspect this one is difficult
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How about this one: what's the largest power of two that excludes at least one digit? 2**168 seems to be missing a 2
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What do you mean by "excludes at least one digit"? Rarer are the powers of 2 that have everything from 0 to 9!
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Actually I get it now. Great observation!
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