Search a number
-
+
227932734272136 = 233477113720773931
BaseRepresentation
bin110011110100110110111001…
…101010001011001010001000
31002220001011020011010221110020
4303310312321222023022020
5214333422214433202021
62124434504053420440
766003411432163125
oct6364667152131210
91086034204127406
10227932734272136
1166698803336693
1221692a8363a720
139a24c7034551a
144040008add74c
151b540c082e7c6
hexcf4db9a8b288

227932734272136 has 128 divisors (see below), whose sum is σ = 594460190453760. Its totient is φ = 72778555404800.

The previous prime is 227932734272071. The next prime is 227932734272143. The reversal of 227932734272136 is 631272437239722.

227932734272136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2279327342721362 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 227932734272136.

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, 585091 + ... + 21359021.

It is an arithmetic number, because the mean of its divisors is an integer number (4644220237920).

Almost surely, 2227932734272136 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 227932734272136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297230095226880).

227932734272136 is an abundant number, since it is smaller than the sum of its proper divisors (366527456181624).

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

227932734272136 is a wasteful number, since it uses less digits than its factorization.

227932734272136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20774195 (or 20774191 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 60.

The spelling of 227932734272136 in words is "two hundred twenty-seven trillion, nine hundred thirty-two billion, seven hundred thirty-four million, two hundred seventy-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 47 71 94 137 141 142 188 213 274 282 284 376 411 426 548 564 568 822 852 1096 1128 1644 1704 3288 3337 6439 6674 9727 10011 12878 13348 19317 19454 20022 25756 26696 29181 38634 38908 40044 51512 58362 77268 77816 80088 116724 154536 233448 457169 914338 1371507 1828676 2743014 3657352 5486028 10972056 20773931 41547862 62321793 83095724 124643586 166191448 249287172 498574344 976374757 1474949101 1952749514 2846028547 2929124271 2949898202 3905499028 4424847303 5692057094 5858248542 5899796404 7810998056 8538085641 8849694606 11384114188 11716497084 11799592808 17076171282 17699389212 22768228376 23432994168 34152342564 35398778424 68304685128 69322607747 133763341709 138645215494 202068026837 207967823241 267526683418 277290430988 401290025127 404136053674 415935646482 535053366836 554580861976 606204080511 802580050254 808272107348 831871292964 1070106733672 1212408161022 1605160100508 1616544214696 1663742585928 2424816322044 3210320201016 4849632644088 9497197261339 18994394522678 28491591784017 37988789045356 56983183568034 75977578090712 113966367136068 227932734272136