We combine near-to-mid-IR Spitzer data with shorter wavelength observations (optical to X-rays) to get insights on the properties of a sample of luminous, obscured Active Galactic Nuclei (AGN). We aim at modeling their broad-band Spectral Energy Distributions (SEDs) in order to estimate the main parameters related to the dusty torus. The sample comprises 16 obscured high-redshift (0.9<z<2.1) xray luminous quasars (L_2-10 ~ 10^44 erg s-1) selected from the HELLAS2XMM survey. The SEDs are described by a multi-component model including a stellar component, an AGN component and a starburst. The majority (~80%) of the sources show moderate optical depth (tau_9.7um<3) and the derived column densities N_H are consistent with the xray inferred values (10^22 <N_H< 3x10^23 cm-2) for most of the objects, confirming that the sources are moderately obscured Compton-thin AGN. Accretion luminosities in the range 5x10^44 < Lbol < 4x10^46 erg s-1 are inferred. We compare model luminosities with those obtained by integrating the observed SED, finding that the latter are lower by a factor of ~2 in the median. The discrepancy can be as high as an order of magnitude for models with high optical depth (tau_9.7um=10). The ratio between the luminosities obtained by the fitting procedure and from the observed SED suggest that, at least for Type~2 AGN, observed bolometric luminosities are likely to underestimate intrinsic ones and the effect is more severe for highly obscured sources. Bolometric corrections from the hard X-ray band are computed and have a median value of k_2-10kev ~ 20. The obscured AGN in our sample are characterized by relatively low Eddington ratios (median lambda_Edd~0.08). On average, they are consistent with the Eddington ratio increasing at increasing bolometric correction (e.g. Vasudevan & Fabiam 2009).
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