I don't have a CDE-W235BT, but I took a quick peek at the specs. It says plug in your iPod or USB stick. If it's like my 2012 Hyundai Factory radio, that's ALL the USB port will recognize... an iDevice or USB stick. My Note 4 (and my previous Note 2) were never recognized. My iPad can connect and play music.
What I did was transfer my music library over to a USB stick and I play it from that. It's actually a bit more convenient than hooking up my phone, because there are no wires to trip over and nothing to unplug or plug in when I get in and out of the car.
I notice your radio has Bluetooth.. Have you tried streaming via Bluetooth from the phone to the radio? I can do that with my Hyundai radio. I sometimes use this method when I'm streaming live content from the internet.