There is a nice script you can use, called "RotateTowardsPoint".

You would place a path in the center (where you want them all rotated towards).

Then select all and run the script.

Check out this answer for the script and more info.

There is a nice script you can use, called "RotateTowardPoint".

You would place a path in the center (where you want them all rotated towards).

Then select all and run the script. (I ran it a few times for better results)

Check out this answer for the script and more info.

Before

After

You'll notice it doesn't do a perfect job, I assume that's a limitation of the computer trying to guess which way you want them all pointing.