In this paper we report on the broadband X-ray properties of a complete sample of absorbed Seyfert galaxies hard X-ray selected with INTEGRAL .
Our sample is composed of 33 sources , of which 15 are newly discovered AGN above 20 keV ( IGR sources ) while 18 are already known type 2 AGN ( ” known ” ) .
For 17 sources ( 15 IGR + 2 ” known ” sources ) we have performed a broadband analysis using both XMM-Newton , and INTEGRAL -IBIS data .
To have a full view of the complete sample we have then complemented the analysis of the 16 remaining sources with already existing broadband studies in the same range .
The high quality broadband spectra are well reproduced with an absorbed primary emission with a high energy cutoff and its scattered fraction below 2-3 keV , plus the Compton reflection features ( Compton hump and Fe line emission ) .
This study permitted a very good characterization of the primary continuum and , in turn , of all the spectral features .

A high energy cut-off is found in 30 % of the sample , with an average value below 150 keV , suggesting that this feature has to be present in the X-ray spectra of obscured AGN .
The hard X-ray selection favours the detection of more obscured sources , with the log N _ { H } average value of 23.15 ( standard deviation of 0.89 ) .
The diagnostic plot N _ { H } vs F _ { corr } ( 2–10 keV ) /F ( 20–100 keV ) allowed the isolation of the Compton thick objects , and may represent a useful tool for future hard X-ray observations of newly discovered AGN .
We are unable to associate the reflection components ( both continuum and Fe line ) with the absorbing gas as a torus ( as envisaged in the Unified Model ) , a more complex scenario being necessary .
In the Compton thin sources , a fraction ( but not all ) of the Fe K line needs to be produced in a gas located closer to the black hole than the Compton thick torus , and this is possibly associated with the optical Broad Line Region , responsible also for the absorption .
We still need a Compton thick medium ( not intercepting the line of sight ) likely associated to a torus , which contributes to the Fe line intensity and produces the observed reflection continuum above 10 keV .
The so-called Iwasawa-Taniguchi effect can not be confirmed with our data .
Finally , the comparison with a sample of unobscured AGN shows that , type 1 and type 2 ( once corrected for absorption ) Seyfert are characterized by the same nuclear/accretion properties ( luminosity , bolometric luminosity , Eddington ratio ) , supporting the ” unified ” view .