Intel x25-m  SSDSA2M160G2HP

It has  "HP" in the marking, better check with HP, might be an OEM model.

Maybe the "M16" part of the model string means that Intel SSDs are made out of recycled M16 rifles?  Or maybe "HP" stands for "High Performance", "Hot Plug", "Horse Power", or "Hugh Phillips"?

Try actually reading the Intel-provided documentation which would bring you to the articles titled Intel® X18-M/X25-M SATA Solid-State Drive – 34nm Product Line Product Manual and Intel® X18-M/X25-M SATA Solid State Drive – 34nm Product Line: Enterprise Server/Storage Applications Product Manual Addendum which defines quite clearly what the model strings are.

Specifically, you will find a couple things in the PDFs:

1) The phrase "...please refer to the Intel High Performance SATA Solid-State Drives Product Selection Guide"

2) Model codes defined at the top of the document, which include "SSD2M160G2XX"

To me, that pretty much defines it right there.  "XX" represents that there are two placeholder characters which can mean pretty much anything.  So, "HP" as in Hewlett Packard is just as plausible as any of the others I listed above.  For sake of comparison, my X25-M drive ends in "GC", which I would love to assume stands for "General Consumption", but in the end it doesn't matter to me.  Gamer-forum-weirdos would probably love to assume it stands for "Garbage Collection", which is utter nonsense.  So why doesn't it matter to me?

Because the specification explicitly states the model string ends with two digits of any value ("XX" like I stated) which means anything could go there and it would be the exact same as any other drive with any other two letters.

Sorry to sound sore/rude about it, but this is something that people become OCD about for no good reason other than to try and either dig up dirt or make themselves paranoid/concerned over nothing.  If you're worried that the drive you bought is refurbished, call Intel and ask them to do a verification on the serial (not model) number; they should be able to tell you based on that if the drive is OEM.  Flash the drive to the latest retail firmware if you're worried about any potential oddities, but chances are they all run the same firmware (I'm not aware of any OEM-specific firmwares in the wild for Intel SSDs).

It likely means HP OEM see this article

http://www.techworld.com.au/article/392415/hp_elitebook_8460p_review/

Note that this is an OEM part number, you can check the warranty status of an Intel(R) product at the following link:

http://www.intel.com/p/en_US/support/warranty/statuscheck

The main difference between an OEM part and a retail unit from intel is that the retail unit have three or five years of warranty depending of the Solid State Drive family or product, the OEM does not have warranty with Intel(R) at all only with the place of purchase or OEM integrator if they offer any warranty at the product.

You can find more information about this at the following link:

Intel� High Performance Solid-State Drive — 5-year limited warranty