Twos

Vojta started writing the number of this year 2019202020192020 into the workbook. .. And so he kept going. When he wrote 2020 digits, no longer enjoyed it. How many twos did he write?

Result

n =  757

Solution:

$p = 20192020 \ \\ d(p) = 8 \ \\ \ \\ 2020 = 252 \cdot \ 8 + 4 \ \\ \ \\ n = 252 \cdot \ 3 + 1 = 757$

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