Search a number
-
+
227165820684720 = 243534710632566073
BaseRepresentation
bin110011101001101100101010…
…000011000000100110110000
31002210022211200121221002221220
4303221230222003000212300
5214233341100043402340
62123050312021545040
765564121543224301
oct6351545203004660
91083284617832856
10227165820684720
1166422535637425
122158a311875180
13999a85000c598
144014c54a807a8
151b3e1870c8ed0
hexce9b2a0c09b0

227165820684720 has 160 divisors (see below), whose sum is σ = 706908141983232. Its totient is φ = 60346130466816.

The previous prime is 227165820684707. The next prime is 227165820684727. The reversal of 227165820684720 is 27486028561722.

It is a happy number.

It is a super-3 number, since 3×2271658206847203 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (227165820684727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87243604 + ... + 89809676.

Almost surely, 2227165820684720 is an apocalyptic number.

227165820684720 is a gapful number since it is divisible by the number (20) 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 227165820684720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353454070991616).

227165820684720 is an abundant number, since it is smaller than the sum of its proper divisors (479742321298512).

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

227165820684720 is a wasteful number, since it uses less digits than its factorization.

227165820684720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567499 (or 2567493 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 60.

The spelling of 227165820684720 in words is "two hundred twenty-seven trillion, one hundred sixty-five billion, eight hundred twenty million, six hundred eighty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 347 694 1041 1063 1388 1735 2082 2126 2776 3189 3470 4164 4252 5205 5315 5552 6378 6940 8328 8504 10410 10630 12756 13880 15945 16656 17008 20820 21260 25512 27760 31890 41640 42520 51024 63780 83280 85040 127560 255120 368861 737722 1106583 1475444 1844305 2213166 2566073 2950888 3688610 4426332 5132146 5532915 5901776 7377220 7698219 8852664 10264292 11065830 12830365 14754440 15396438 17705328 20528584 22131660 25660730 29508880 30792876 38491095 41057168 44263320 51321460 61585752 76982190 88526640 102642920 123171504 153964380 205285840 307928760 615857520 890427331 1780854662 2671281993 2727735599 3561709324 4452136655 5342563986 5455471198 7123418648 8183206797 8904273310 10685127972 10910942396 13356409965 13638677995 14246837296 16366413594 17808546620 21370255944 21821884792 26712819930 27277355990 32732827188 35617093240 40916033985 42740511888 43643769584 53425639860 54554711980 65465654376 71234186480 81832067970 106851279720 109109423960 130931308752 163664135940 213702559440 218218847920 327328271880 654656543760 946524252853 1893048505706 2839572758559 3786097011412 4732621264265 5679145517118 7572194022824 9465242528530 11358291034236 14197863792795 15144388045648 18930485057060 22716582068472 28395727585590 37860970114120 45433164136944 56791455171180 75721940228240 113582910342360 227165820684720