Search a number
-
+
220201200002212 = 22111317101224209163
BaseRepresentation
bin110010000100010110010110…
…010011100010010010100100
31001212200000210020101200021221
4302010112112103202102210
5212330234024200032322
62100155011301550124
764245004004211232
oct6204262623422244
91055600706350257
10220201200002212
1164187893849a50
1220844574415344
1395b3b65387260
143c53b1b493952
151a6ce128d59c7
hexc845964e24a4

220201200002212 has 96 divisors (see below), whose sum is σ = 484098077522304. Its totient is φ = 86096318208000.

The previous prime is 220201200002177. The next prime is 220201200002213. The reversal of 220201200002212 is 212200002102022.

It is not an unprimeable number, because it can be changed into a prime (220201200002213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111122458 + ... + 113086705.

It is an arithmetic number, because the mean of its divisors is an integer number (5042688307524).

Almost surely, 2220201200002212 is an apocalyptic number.

220201200002212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

220201200002212 is an abundant number, since it is smaller than the sum of its proper divisors (263896877520092).

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

220201200002212 is a wasteful number, since it uses less digits than its factorization.

220201200002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224209309 (or 224209307 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220201200002212 its reverse (212200002102022), we get a palindrome (432401202104234).

The spelling of 220201200002212 in words is "two hundred twenty trillion, two hundred one billion, two hundred million, two thousand, two hundred twelve".

Divisors: 1 2 4 11 13 17 22 26 34 44 52 68 101 143 187 202 221 286 374 404 442 572 748 884 1111 1313 1717 2222 2431 2626 3434 4444 4862 5252 6868 9724 14443 18887 22321 28886 37774 44642 57772 75548 89284 245531 491062 982124 224209163 448418326 896836652 2466300793 2914719119 3811555771 4932601586 5829438238 7623111542 9865203172 11658876476 15246223084 22645125463 32061910309 41927113481 45290250926 49550225023 64123820618 83854226962 90580501852 99100450046 128247641236 167708453924 198200900092 249096380093 294386631019 384967132871 498192760186 545052475253 588773262038 769934265742 996385520372 1090104950506 1177546524076 1539868531484 2180209901012 3238252941209 4234638461581 5004572727323 6476505882418 8469276923162 10009145454646 12953011764836 16938553846324 20018290909292 55050300000553 110100600001106 220201200002212