Gateway .232
Router .233
Spare IP .234
Broadcast .235
This is a bunch of meaningless dribble.
It has no information at all.
Your ISP is clueless.
First of all, a gateway is a router. In the 80s, Internet people referred to routers as gateways. Somewhere in the early 90s everybody started using the word router. Only the term "default gateway" remains. The "default gateway" is a router. But "default gateway" is only used by endstations (PCs, servers, laptops, phones). A router will never use a "default gateway".
So the words "router" and "gateway" are meaningless in that list.
Second thing is: on the subnet we're talking about, there are 2 routers. The ISP's router that is part of their backbone. (Or access/distribution layer, to be precise. These are called B-RAS or BNG routers). So saying "the router's IP address is this" is meaningless. There are 2 routers involved. Which one are they talking about.
BTW, BNG stands for Broadband Network Gateway. But that terminology is used by ISPs and telcos only. Not by endusers.
So maybe they mean:
Gateway .232 -> the ISP's router
Router .233 -> your router
Spare IP .234 -> what??
Broadcast .235 -> correct
The only thing they got correct is the broadcast address.
But what is a "spare IP" ? There are no spare IP-addresses on a /30. As other have said here, a /30 has 4 IP addresses. The first one is the "network address". The last one is the broadcast-address. The middle 2 addresses can be assigned to boxes. In your case: one ip-address for your ISP's router, and one ip-address for your own home-router.
How it is setup in the router.
Router picks up .233 as main IP.
Did you configure this manually ?
Was this already configured by the ISP manually when you received your router ?
Or (most likely) did your router pick up .233 via PPP (when you have ADSL) or DHCP (when you have cable or fibre) ?
.232 & .234 can both be pinged externally.
That's unusual that you can ping .232. That should not be possible.
Your router must be weird.
Can you tell us what brand/type/os-version it has ?
That you can ping .234 is normal. If .233 is your ip-address, then .234 must be the ip-address of the ISP's router connecting to your router. Normally you can ping that one too.
Sometimes you can ping the broadcast-address. In your case the .235 address. It just means that all devices on that network will respond to the ping request. On a /32 you can have 2 devices, so a ping to .235 could yield to ping-replies.
I even did a test and swapped about port 80 between IP's to check you can access the same webpage from a external source.
From my understanding.
.233 is the IP the router should pick up from the ISP.
.234 is the spare IP I can use for web server/exchange etc etc.
Hence as advertised by the ISP you only get 2 useable IP's. Well they techically say one.
I've also been reading the gatway IP can be used but it's not advisable to to be unstable & like you mentioned above possible it's shared!
If you get a /30, you get 2 ip-addresses. One used by your ISP and one used/usable by you. There is no other way. There are no extra ip-addresses. Unless your ISP does something funky. In that case, just ask them. If you keep guessing, you will never really understand what is going on.
Do you really need a 2nd IP-address on your router's interface to your ISP ? I don't see the point.