MathDB
1st number divisible by 22, 2022 => 2020222 => 2020220222 => ...,

Source: 2022 Czech-Polish-Slovak Match Junior, team p2 CPSJ

September 3, 2022
number theorydivisible

Problem Statement

The number 20222022 is written on the board. In each step, we replace one of the 22 digits with the number 20222022. For example 2022⇒2020222⇒2020220222⇒...2022 \Rightarrow 2020222 \Rightarrow 2020220222 \Rightarrow ... After how many steps can a number divisible by 2222 be written on the board? Specify all options.
Back to ProblemsView on AoPS