Search a number
-
+
2272271313276 = 2233177901156641
BaseRepresentation
bin100001000100001101111…
…011001010100101111100
322001020010111100122102000
4201010031323022211330
5244212102424011101
64455511140102300
7323111000324226
oct41041573124574
98036114318360
102272271313276
117a6734a11368
1230846b094990
1313637473aa33
147bd9b0a9416
153e191169486
hex2110deca97c

2272271313276 has 96 divisors (see below), whose sum is σ = 6238436823360. Its totient is φ = 712774656000.

The previous prime is 2272271313233. The next prime is 2272271313281. The reversal of 2272271313276 is 6723131722722.

2272271313276 is a `hidden beast` number, since 2 + 27 + 2 + 271 + 31 + 327 + 6 = 666.

It is a super-2 number, since 2×22722713132762 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14427916 + ... + 14584556.

It is an arithmetic number, because the mean of its divisors is an integer number (64983716910).

Almost surely, 22272271313276 is an apocalyptic number.

It is an amenable number.

2272271313276 is an abundant number, since it is smaller than the sum of its proper divisors (3966165510084).

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

2272271313276 is a wasteful number, since it uses less digits than its factorization.

2272271313276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164572 (or 164564 counting only the distinct ones).

The product of its digits is 592704, while the sum is 45.

The spelling of 2272271313276 in words is "two trillion, two hundred seventy-two billion, two hundred seventy-one million, three hundred thirteen thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 7901 15802 23703 31604 47406 71109 94812 134317 142218 156641 213327 268634 284436 313282 402951 426654 469923 537268 626564 805902 853308 939846 1208853 1409769 1611804 1879692 2417706 2662897 2819538 3626559 4229307 4835412 5325794 5639076 7253118 7988691 8458614 10651588 14506236 15977382 16917228 23966073 31954764 47932146 71898219 95864292 143796438 287592876 1237620541 2475241082 3712861623 4950482164 7425723246 11138584869 14851446492 21039549197 22277169738 33415754607 42079098394 44554339476 63118647591 66831509214 84158196788 126237295182 133663018428 189355942773 252474590364 378711885546 568067828319 757423771092 1136135656638 2272271313276