Hybridization problem about guanidine.

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Structure of guanidine is as follows:
800px-Guanidine-2D-skeletal.png

The central carbon atom is obviously of sp2 hybridization and there is 1 unhybridized p orbital remaining. I suppose that the N atom doubly-bonded to C is of sp hybridization and the other 2 N atoms are of sp2 hybridization. Am I right?
 
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First I want to express my general objections against saying that an atom "is" sp however hybridized.
Having said this, I would like to remind you of the free electron pair on the N with only one H attached to it.