Amy Winehouse

removing iron filings from neodymium magnets?

i dropped a neocube on the floor, turns out that the floor had iron filings all over it from god knows what. however, now there is iron between each of the 216 magnets, and apart from them being stiff and tough to work with now the iron grinds away the nickel coating. any ideas on how to get all the iron off? preferably WITHOUT detailing each and every single magnet.