How many nobles in Axandorf ?

The kingdom is divided into six provinces, each having a Duke as its overlord. 

However things are not equal and strait forward between the Dukes. Three provinces; Gardor, Axador and Pendor have hereditary Dukes, these families are linked to the old kingdoms that existed before the realm was united. Two provinces; North March and South March are essentially military zones, with only limited populations. They have Dukes appointed by the king. The last province is Royal Axe, home to the king's castle and a lot of wilderness. The Duke here is always a member of the royal family, holding a post that is mostly symbolic. Typically the prince, who is heir to the crown, will be given the title when he reaches maturity.

The kingdom has 3 big cities,14 major towns and 9 large forts, each of them is ruled by a Earl. The cities and towns have hereditary Earls, the forts have appointed ones. In many ways an Earl plays the same administrative role as a Baron, over roughly the same size area, however they have rule over a much greater concentration of population. The hereditary Earls are very urban centered in their outlook, often keen to show their superiority over the Barons.

The kingdom has about 100 baronies. They provide the essential food for the towns and the troops for the wars. Each barony has an average of 20 estates, thus we about 2000 lords.

Military Facts
Each Baron is required to provide at least 200 infantry and 20 cavalry. So the kingdom has a basic levy of  20,000 infantry and 2000 cavalry. In reality the 'cavalry' are knights and lords, who usually bring along a mounted arms-man and a squire. Thus the 20 is usually 60, although squires are not expected to fight so we may consider the number as 40 cavalry per Barony.

The above number of troops is augmented by the requirement of each of the 14 towns to provide 500 men (7,000), and the 3 cities to provide 1000 men each (3000). In reality a fraction of the men are usually sent, with a sizable cash payment so the king can buy mercenaries. 

Governmental Facts
The city of Axandorf is the capital, in holds the government halls and a royal palace. Both are essential to the general administration of the kingdom, they have regular business hours all year long. They also deal with any foreign issues, like visiting diplomats.

Once each year, in the autumn after the harvest, there is a parliament held at the government hall. All Dukes, Earls and Barons are invited, they have assigned seats. Also invited are the Bishops, there is one for each barony, town and city, they too have assigned seats. Lords of lesser rank may request a seat and are usually given one. However the hall itself could not contain all 2000 of them, there are actually only 100 seats for the lesser lords.   

Parliament has some authority, but it is not mainly a governing body. It exists as a forum for nobles to publicly express views and resolve issues. It can suggest laws and courses of action, even vote on them, but it requires the king's consent.

The real ruling of the kingdom is done from the King's Office, where ever he may be. Usually he holds council with a small group of advisory, twice each year, at Axar-Rex the royal castle. This council holds the real power of governance. The members are appointed, usually for life, but are dismissed after a sizable failure. They hold the title High Councilor, which gives them status and power above an Earl.