Challenges

[SMcNeill]

What numbers between 1 and 1000 can NOT be expressed as the sum of consecutive integers?
BONUS: one number can be expressed 15 different ways as a sum of consecutive numbers what is it and list the ways.

I didn't take time to check the whole list, but it appears using the numbers from 1 to 100, that the powers of 2 are the values which can't be summed.  (2, 4, 8, 16, 32, 64..)

945, and its starting points:      2 10 17 22 35 44 56 61 90 101 132 155 187 314 472