When I watched President Bush's Thursday night address, I expected to see him paint a rosy picture of the Iraq war. I expected to see him gloss over the difficulties and bend the truth as far as possible to avoid admitting that the war was a mistake. He did all of that, of course, but this time he went a step further and told a lie that is easy to debunk.

To the international community: The success of a free Iraq matters to every civilized nation. We thank the 36 nations who have troops on the ground in Iraq and the many others who are helping that young democracy.
(Whitehouse.gov)

Thirty-six nations!? Several sites have fact-checked this:

Talking Points Memo
FactCheck.org
The Washington Post
Wonkette
TPMmuckraker.com

The State Department puts the number at 25. The total number of non-US troops is around 11,000 and falling steadily.