As part of the lottery system of the state, a new "scratch off" game is being marketed. The card will sell for $5. There will only be one prize, a grand prize of $9.700,969. This prize will be paid out in equal payments over the course of 22 years. If the state feels its investment team can safely earn a return of 5.6%, how many cards need to be sold during the contest to ensure the state at least breaks even on the contest? Round up to nearest whole number