Im 6 ft 2, 200 hundred pounds and looking to drop about 15-20 pounds, as quickly as possible. Not through weird diets just through exercise and eating right.If i burn 450 calories a day through excercise (running and lifting), how many calories do I want to intake total, so that I am consuming as few as possible while still staying healthy?

2000 Calories a day is the optimal amount.  If you are an athlete, you may need about 2500 calories a day since you will need more energy.

You at least started out right, and you have the exercise idea down better than the other tweenies here.  Good job!First of all, find out your Body mass Index, or BMI, then figure out your base metabolic rate.  This is the amount of calories you burn every day just to live; it's what runs your organs, your blood flow, repairs tissues, and keeps you breathing.Now that you're armed with good info, time to use it!I'll use myself as an example.  My BMI is 23, which is normal for my height and age.  My BMR is about 1,800 Calories, so if I ate 1800 calories a day and did NOTHING, I'd stay the same weight.Now if I exercised enough to burn 500 cal per day and ate the same, that would burn 3,500 calories a week more than I ate, which is ONE POUND of fat.However, I am an avid cyclist, and I ride enough to burn 600-1000  extra calories per day.  So to maintain my 160lbs, I need to eat close to 3,000 calories every day!The trick for me is to eat ENOUGH at the right time to maintain my particular fitness level.  During long rides, I can burn over 2,500 calories, and it' actually difficult to eat over 4,000 calories in a day without a lot of it being fat!So if you start keeping track of calories in vs. calories out, you should be able to watch the weight drop off steadily as long as you do things right.  Don't sweat the occasional weak moment, as I too love a donut or DQ sundae every so often, but it's not a daily occurrence.