200 (αριθμός)

Το 200 (διακόσια) είναι ο φυσικός αριθμός που βρίσκεται μετά από το 199 και πριν από το 201. Είναι άρτιος αριθμός, αφού 200:2 = 100, δηλαδή διαιρείται με το 2, στο σύνολο των φυσικών αριθμών. Ο αριθμός 200 συμβολίζεται ως CC στο ρωμαϊκό σύστημα αρίθμησης και ως Σ´ στο ελληνικό σύστημα αρίθμησης.

Στα μαθηματικά

Το 200 είναι ένας σύνθετος αριθμός, αφού οι φυσικοί διαιρέτες του είναι 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100 και 200, δηλαδή έχει και άλλους φυσικούς διαιρέτες εκτός του 1 και του εαυτού του. Ο επόμενος σύνθετος αριθμός είναι το 201.
Το ανάπτυγμα πρώτων παραγόντων του 200 είναι 200 = 2³· 5².
Το 200 είναι αριθμός Χαρσάντ στο δεκαδικό σύστημα, αφού 2 + 0 + 0 = 2, δηλαδή το άθροισμα των ψηφίων του είναι διαιρέτης του.
Αποτελεί τον μικρότερο αριθμό ο οποίος δεν μπορεί να μετατραπεί σε πρώτο αριθμό με αλλαγή κάποιου από τα ψηφία του.^[1]
Είναι αριθμός Πάντοβαν, όπου $a(n)=a(n-2)+a(n-3)$ με $a(0)=1$ , $a(1)=a(2)=0$ . Ο προηγούμενος είναι ο 151 και ο επόμενος ο 265.^[2]

Λογάριθμοι, δυνάμεις και ρίζες

^{Δυαδικός} lb(200)	^{Φυσικός} ln(200)	^{Δεκαδικός} lg(200)	^{Τετράγωνο} 200²	^Κύβος 200³	^{Τετραγωνική} √200	^Κυβική ³√200
7,644	5,298	2,300615	40000	8000000	14,142	5,848

Κοντινοί πρώτοι αριθμοί

Διάταξη κατά την σπείρα Ούλαμ. Πρώτοι αριθμοί με γαλανό χρωματισμό στο υπόβαθρο, πράσινο οι αριθμοί με 3 διαιρέτες, κόκκινο οι αριθμοί με μεγάλο σύνολο διαιρετών.

232	231	230	229	228	227	226
233	212	211	210	209	208	225
234	213	200	199	198	207	224
235	214	201	196	197	206	223
236	215	202	203	204	205	222
237	216	217	218	219	220	221
238	239	240	241	242	243	244

Άλλα

200 Μοτέλ είναι ο τίτλος σουρεαλιστικής ταινίας των Φρανκ Ζάπα και Τόνυ Πάλμερ του 1971, όπως και του ομώνυμου άλμπουμ με το σάουντρακ του φιλμ.

Αναφορές και παρατηρήσεις

↑ «What's Special About This Number?». www2.stetson.edu. Αρχειοθετήθηκε από το πρωτότυπο στις 14 Νοεμβρίου 2015. Ανακτήθηκε στις 18 Νοεμβρίου 2017.
↑ «A000931 - OEIS». oeis.org. Ανακτήθηκε στις 18 Νοεμβρίου 2017.

Εξωτερικοί σύνδεσμοι

Λεξιλογικός ορισμός του διακόσια στο Βικιλεξικό
Πολυμέσα σχετικά με το θέμα 200 (number) στο Wikimedia Commons

π σ ε Φυσικοί αριθμοί
Τρέχουσα δεκάδα	200 201 202 203 204 205 206 207 208 209
Μονάδες	1 2 3 4 5 6 7 8 9 10
Δεκάδες	10 20 30 40 50 60 70 80 90
Εκατοντάδες	100 200 300 400 500 600 700 800 900
Χιλιάδες	1.000+ 2.000+ 3.000+ 4.000+ 5.000+ 6.000+ 7.000+ 8.000+ 9.000+
Μεγαλύτερες τάξεις	10.000+ 100.000+ 1.000.000+
Μεγάλοι αριθμοί	2⁶³-1 Σταθερά Αβογκάντρο Γκούγκολ Ψαμμίτης Αριθμός του Γκράχαμ Άπειρο

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