Hello Shankar,
an EIGRP update about an IP prefix contains the composite metric fields and a next hop count field that can be used as tie breaker or to decide if the route is usable.
Going through 224 routers is really unlike in an healthy network.
A traceroute can take up to 30-32 router hops and goes via a BGP AS path of max 7-8 AS numbers.
So this is not a limit that you should worry about in EIGRP implementation
Even a value of 100 would be enough.
Hope to help
Giuseppe
