Pigmented formulations based on aqueous polymer dispersions

A pigment-comprising formulation for coating substrates, comprising:

• (i) an aqueous dispersion of at least one water-insoluble polymer P which has phosphonate groups, as a binder, said polymer P having a glass transition temperature Tg in the range of −60° to 80° C.,
• (ii) at least one inorganic pigment,
• (iii) optionally, one or more inorganic fillers, and
• (iv) at least one auxiliary,
• wherein water-insoluble polymer P is obtained by free-radical aqueous emulsion polymerization of ethylenically unsaturated monomers comprising:
• 90 to 99.9% by weight of at least one monomer a, which is selected from the group consisting of vinylaromatic monomers, the esters of acrylic acid with C1-C12-alkanols, the esters of methacrylic acid with C1-C12-alkanols, the vinyl esters of aliphatic C1-C12-monocarboxylic acids, ethylene and vinylchloride, and
• 0.1 to 10% by weight of at least one different monomer b of the formula (I):
• or a salt thereof, where
• R1 is hydrogen, C1-C4-alkyl, COOH, —CO2-alk-OH or —CO2-alk-P(O)(OH)2 and
• R2 is hydrogen, C1-C4-alkyl, —CH2—COOH, —CH2—CO2-alk-OH or —CH2—CO2-alk-P(O)(OH)2, in which alk is C1-C4-alkylene,
• X is a single bond, alkylene, arylene, —R3—Z—O—R4— or —R3—Z—NH—R4—, in which R3 is attached to the carbon of the double bond and is a single bond, alkylene or arylene,
• R4 is alkylene or arylene, and
• Z is CO or SO2.