23. The rate at which people enter a supermarket, measured in people per hour on a given day, is modeled by the function \( S \) defined by \[S(t) = \frac{720}{t^2 - 28t + 205}, \quad \text{for } 6 \leq t \leq 22.\] To the nearest whole number, how many people entered the supermarket from time \( t = 6 \) to \( t = 22 \)?
