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Omni-MATH / A number is called [i]Norwegian[/i] if it has three distinct positive divisors…

Problem

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problem

A number is called [i]Norwegian[/i] if it has three distinct positive divisors whose sum is equal to 20222022. Determine the smallest Norwegian number. (Note: The total number of positive divisors of a Norwegian number is allowed to be larger than 33.)
Plain-text mathematical notation (without MathML)
A number is called [i]Norwegian[/i] if it has three distinct positive divisors whose sum is equal to 2022. Determine the smallest Norwegian number.
(Note: The total number of positive divisors of a Norwegian number is allowed to be larger than 3.)
Original LaTeX notation
A number is called [i]Norwegian[/i] if it has three distinct positive divisors whose sum is equal to $2022$. Determine the smallest Norwegian number.
(Note: The total number of positive divisors of a Norwegian number is allowed to be larger than $3$.)

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