A fitness company is building a 20-story high-rise. Architects building the high-rise know that women working for the company have weights that are normally distributed with a mean of 143 lb and a standard deviation of 29 lb, and men working for the company have weights that are normally distributed with a mean of 169 lb and a standard deviation or 22 lb. You need to design an elevator that will safely carry 18 people. Assuming a worst case scenario of 18 male passengers, find the maximum total allowable weight if we want to a 0.99 probability that this maximum will not be exceeded when 18 males are randomly selected.

maximum weight =-lb

Enter your answer rounded to the nearest whole number, but don't round until the very end. Don't round mid-calculation.