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That specific number is rational, yes.

However, there's a pattern there (2,1 zero, 2, 2 zeroes, 2, three zeroes, 2, four zeroes), and if you're asking if the infinite nonrepeating decimal following that pattern is rational... no it is not, that kind of being what "infinite nonrepeating decimal" means.

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Q: Is 0.20200200020000200000 rational number
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