We report measurements of the first magnetic penetration field, Hp, of Bi2.2Sr1.8CaCu2O8+partial derivative crystals by a novel local Hall probe technique. We demonstrate that H(p) is slightly enhanced above the thermodynamic lower critical field, H(c1), by the Bean-Livingston surface barrier, and that irreversible magnetization at temperatures between 50K and T(c) (87.8K) arises mainly from the presence of this barrier. We argue that the non-linear temperature variation of H(p) observed, results from a temperature-dependent efficiency of the Bean-Livingston barrier.