Hey guys...first post, and still fairly new to HT. Still trying to learn, but some of this stuff can be a bit much for me

In any case, I recently purchased this speaker set (The two towers, the two bookshelfs, and the center...I didn't get the sub that goes with it since I wanted something more powerful) and a Pioneer VSX-1123k AVR, set up in a 5.1 configuration. So far I'm very pleased with them, although I find myself having to raise the volume quite a bit to have the sound fill my room nicely. The max volume level on the AVR is +12db, and so far I've had it as loud as -14db while watching a movie to have the room sound full at a volume to my liking. My living room is approximately 15'x16' with 9' ceilings, and the living room opens up to a hallway and the dining room.
In its specs it states that the AVR is rated at 90 watts per channel (20Hz-20kHz,.08%THD@8ohm), and 165 watts per channel (1kHz,1%THD@6ohm). I realize that AVR manufacturers like to fudge their numbers to make their product sound better or more powerful sometimes and this is where I tend to get confused, such as what the power rating would be per channel at the 6ohms these speakers require at 20hz-20kHz. Basically what I'd like to know is if this AVR is powerful enough to drive these speakers safely at the kinda loud-ish volumes I had them at? I did not hear any distortion or clipping so far, so I assume it's been okay so far. But what if I wanted to turn them up even a bit louder? I'd just like to know if the AVR is strong enough to drive these speakers to their full potential. If I had to I could return the AVR and get something a bit stronger if that was necessary, but would like to avoid it if possible since I have everything all plugged in and set up nicely lol.
Sorry for the long post, but I'm anxious to learn as much as I can, and like to give as many details as I can. Thank you for your help and advice!