Based on a IP address, e.g.:
$ ping www.uky.edu
We find that 22.214.171.124 maps to www.uky.edu.
Let's find the network range:
# -A Perform AS path lookup traceroute -A 126.96.36.199
We find that two AS numbers, one for two administrative units of UK:
University of Kentuky/University of Kentucky, Communication Services AS23162/AS10437
Then we can look up the network range at a site like this:
An alternate way is to perform a specific whois search, using radb.net, a public routing registry:
$ whois -h whois.radb.net 188.8.131.52
Here we find both the network range and the AS number:
Now, let's see how many networks and hosts UK can have based on the route information.