Riding a bike on a tilted road
If you feel no "tilt" on a flat road then there is probably nothing wrong.  A bike's steering geometry is designed as a compromise, using terms such as "rake", "head angle", and "trail".  A bike designed for agility will generally have a geometry that makes it turn downhill on a slope (if you let go of the handlebar), but a bike designed for stability (such as yours) will tend to turn uphill.  This tendency is amplified by the wider, lower pressure tires.  

I doubt that there is anything wrong with the bike, unless this effect is very pronounced.

If you find the effect unsettling you might be able to reduce it by increasing your front tire pressure 20-30%.