X86_64 kernel doesnt install on 64bit(?) machine.

There has been some discussion on this list as to what determines if you have
an Intel 64bit machine or not.  Well, if I do cat /proc/cpuinfo I see:

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flags           : fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca 
cmov pat pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm pbe nx lm 
constant_tsc pni monitor ds_cpl est cid cx16 xtpr
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So the 'lm' flag is there, and I assume that this is a 64bit cpu.

However if I try to load a 64bit kernel from the rpm, I get the error message:

[root@deneb Desktop]# rpm -i kernel-2.6.22.2-42.fc6.x86_64.rpm
        package kernel-2.6.22.2-42.fc6 is intended for a x86_64 architecture

So, who's right and who's wrong, and what gives?
(and yes Im quite happy running the 32bit kernels, this is just an experiment)

-- 
                                        Reg.Clemens
                                        reg@xxxxxxx