Search a number
-
+
222203110332100 = 225253131367872041
BaseRepresentation
bin110010100001011110110001…
…011101011001011011000100
31002010202102001210212100012211
4302201132301131121123010
5213111033432221111400
62104330411043553204
764542434134231222
oct6241366135313304
91063672053770184
10222203110332100
116488989aa60967
1220b0855008b804
1396ca88162ac31
143cc298b939b12
151aa502d461dba
hexca17b17596c4

222203110332100 has 144 divisors (see below), whose sum is σ = 496378138265856. Its totient is φ = 86302659456000.

The previous prime is 222203110332061. The next prime is 222203110332199. The reversal of 222203110332100 is 1233011302222.

222203110332100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254372080 + ... + 255244120.

It is an arithmetic number, because the mean of its divisors is an integer number (3447070404624).

Almost surely, 2222203110332100 is an apocalyptic number.

222203110332100 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 222203110332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248189069132928).

222203110332100 is an abundant number, since it is smaller than the sum of its proper divisors (274175027933756).

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

222203110332100 is a wasteful number, since it uses less digits than its factorization.

222203110332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872606 (or 872599 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 222203110332100 its reverse (1233011302222), we get a palindrome (223436121634322).

The spelling of 222203110332100 in words is "two hundred twenty-two trillion, two hundred three billion, one hundred ten million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 131 212 262 265 367 524 530 655 734 1060 1310 1325 1468 1835 2620 2650 3275 3670 5300 6550 6943 7340 9175 13100 13886 18350 19451 27772 34715 36700 38902 48077 69430 77804 96154 97255 138860 173575 192308 194510 240385 347150 389020 480770 486275 694300 872041 961540 972550 1201925 1744082 1945100 2403850 2548081 3488164 4360205 4807700 5096162 8720410 10192324 12740405 17440820 21801025 25480810 43602050 46218173 50961620 63702025 87204100 92436346 114237371 127404050 184872692 228474742 231090865 254808100 320039047 456949484 462181730 571186855 640078094 924363460 1142373710 1155454325 1280156188 1600195235 2284747420 2310908650 2855934275 3200390470 4621817300 5711868550 6054580663 6400780940 8000976175 11423737100 12109161326 16001952350 16962069491 24218322652 30272903315 32003904700 33924138982 41925115157 60545806630 67848277964 83850230314 84810347455 121091613260 151364516575 167700460628 169620694910 209625575785 302729033150 339241389820 419251151570 424051737275 605458066300 838502303140 848103474550 1048127878925 1696206949100 2096255757850 2222031103321 4192511515700 4444062206642 8888124413284 11110155516605 22220311033210 44440622066420 55550777583025 111101555166050 222203110332100