Search a number
-
+
200312016 = 24353711109
BaseRepresentation
bin10111111000010…
…00010011010000
3111221220220102120
423330020103100
5402234441031
631513214240
74651424022
oct1374102320
9457826376
10200312016
11a3086423
1257101380
1332666328
141c864012
15128bba96
hexbf084d0

200312016 has 80 divisors (see below), whose sum is σ = 535144320. Its totient is φ = 64529920.

The previous prime is 200312011. The next prime is 200312027. The reversal of 200312016 is 610213002.

It is a junction number, because it is equal to n+sod(n) for n = 200311986 and 200312004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200312011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180070 + ... + 181178.

It is an arithmetic number, because the mean of its divisors is an integer number (6689304).

Almost surely, 2200312016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200312016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267572160).

200312016 is an abundant number, since it is smaller than the sum of its proper divisors (334832304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200312016 is a wasteful number, since it uses less digits than its factorization.

200312016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 200312016 is about 14153.1627560768. The cubic root of 200312016 is about 585.1075030719.

Adding to 200312016 its reverse (610213002), we get a palindrome (810525018).

The spelling of 200312016 in words is "two hundred million, three hundred twelve thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 71 106 142 159 212 213 284 318 424 426 568 636 848 852 1109 1136 1272 1704 2218 2544 3327 3408 3763 4436 6654 7526 8872 11289 13308 15052 17744 22578 26616 30104 45156 53232 58777 60208 78739 90312 117554 157478 176331 180624 235108 236217 314956 352662 470216 472434 629912 705324 940432 944868 1259824 1410648 1889736 2821296 3779472 4173167 8346334 12519501 16692668 25039002 33385336 50078004 66770672 100156008 200312016