Search a number
-
+
116628226200 = 233252142345533
BaseRepresentation
bin110110010011110010…
…1011000000010011000
3102011001000120202101100
41230213211120002120
53402323311214300
6125324523351400
711266104365043
oct1544745300230
9364030522340
10116628226200
1145509658602
121a72a682560
13acc8795045
145905605c5a
153078e76700
hex1b27958098

116628226200 has 144 divisors (see below), whose sum is σ = 391960314720. Its totient is φ = 31078321920.

The previous prime is 116628226163. The next prime is 116628226201. The reversal of 116628226200 is 2622826611.

It is a happy number.

116628226200 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 2 + 8 + 22 + 620 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116628226201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2538634 + ... + 2584166.

It is an arithmetic number, because the mean of its divisors is an integer number (2721946630).

Almost surely, 2116628226200 is an apocalyptic number.

116628226200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116628226200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195980157360).

116628226200 is an abundant number, since it is smaller than the sum of its proper divisors (275332088520).

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

116628226200 is a wasteful number, since it uses less digits than its factorization.

116628226200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46978 (or 46966 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 116628226200 in words is "one hundred sixteen billion, six hundred twenty-eight million, two hundred twenty-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1423 1800 2846 4269 5692 7115 8538 11384 12807 14230 17076 21345 25614 28460 34152 35575 42690 45533 51228 56920 64035 71150 85380 91066 102456 106725 128070 136599 142300 170760 182132 213450 227665 256140 273198 284600 320175 364264 409797 426900 455330 512280 546396 640350 682995 819594 853800 910660 1092792 1138325 1280700 1365990 1639188 1821320 2048985 2276650 2561400 2731980 3278376 3414975 4097970 4553300 5463960 6829950 8195940 9106600 10244925 13659900 16391880 20489850 27319800 40979700 64793459 81959400 129586918 194380377 259173836 323967295 388760754 518347672 583141131 647934590 777521508 971901885 1166282262 1295869180 1555043016 1619836475 1943803770 2332564524 2591738360 2915705655 3239672950 3887607540 4665129048 4859509425 5831411310 6479345900 7775215080 9719018850 11662822620 12958691800 14578528275 19438037700 23325645240 29157056550 38876075400 58314113100 116628226200