Do yourself a favor and get a modern flash, preferably made by Nikon. Measurements made by different people show the sync voltage of the Vivitar 2000 can go as high as 200 volts. Nikon flash sync voltage is generally less than 6 volts. Why take a chance.
The Vivitar 2000 has a high sync voltage that could damage the circuits in your D200. As Anthony wrote above, you will have to isolate the Flash unit from the camera using a Wein Safe-Sync. The Safe-Sync model SSHSHS ($49.20) will mount in the cameras hotshoe and you can place the Vivitar flash in the Safe-Sync's shoe or attach it via a PC cord.
Given the price of the Safe-Sync and the low power of the Vivitar 2000 you might be better off buying a used Nikon SB-24 or similar. Like the Vivitar 2000 you will be limited to Non-TTL Auto flash mode or Manual flash mode. For the most consistant results, use Manual exposure mode and Manual ISO.
Here is a quote from page 177 of the D200 manual: "Negative voltages or voltages over 250 V applied to the accessory shoe could not only prevent normal operation, but damage the sync circuitry of the camera or flash." This also applies to the D200's PC terminal also.
If the Vivitar 2000 has a sync voltage of 200V, then it is within the specifications of the D200 - no Wein Safe-Sync needed.
While 202v is less than the 250v max. The OP's copy might be higher since Vivitar made some changes over the years of production. Given that the Sync voltage of Nikons current Speedlights are less than 6v and have been for well over 20 years, why risk an expensive repair to the camera by using an old Flash unit (GN: 18/60) that is only slightly more powerful than the built-in TTL Speedlight (GN: 13/42). Too much risk for too little reward. The Wein Safe-Sync is cheap insurance.