Search a number
-
+
211222322122332 = 223191817976421967
BaseRepresentation
bin110000000001101100000111…
…011110101000111001011100
31000200212122201210120201121210
4300001230013132220321130
5210141131303430403312
62025122110055424420
762330211022412043
oct6001540736507134
91020778653521553
10211222322122332
116133597a313344
121b834374385110
1390b22444c92c1
143a23301b0d55a
15196459d729e3c
hexc01b077a8e5c

211222322122332 has 96 divisors (see below), whose sum is σ = 522312528890880. Its totient is φ = 66250028770560.

The previous prime is 211222322122321. The next prime is 211222322122333. The reversal of 211222322122332 is 233221223222112.

It is a super-2 number, since 2×2112223221223322 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 211222322122332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211222322122333) 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, 29679613 + ... + 36101579.

It is an arithmetic number, because the mean of its divisors is an integer number (5440755509280).

Almost surely, 2211222322122332 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 211222322122332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261156264445440).

211222322122332 is an abundant number, since it is smaller than the sum of its proper divisors (311090206768548).

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

211222322122332 is a wasteful number, since it uses less digits than its factorization.

211222322122332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6422971 (or 6422969 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 211222322122332 its reverse (233221223222112), we get a palindrome (444443545344444).

The spelling of 211222322122332 in words is "two hundred eleven trillion, two hundred twenty-two billion, three hundred twenty-two million, one hundred twenty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 181 228 362 543 724 797 1086 1594 2172 2391 3188 3439 4782 6878 9564 10317 13756 15143 20634 30286 41268 45429 60572 90858 144257 181716 288514 432771 577028 865542 1731084 2740883 5481766 6421967 8222649 10963532 12843934 16445298 19265901 25687868 32890596 38531802 77063604 122017373 244034746 366052119 488069492 732104238 1162376027 1464208476 2324752054 3487128081 4649504108 5118307699 6974256162 10236615398 13948512324 15354923097 20473230796 22085144513 30709846194 44170289026 61419692388 66255433539 88340578052 97247846281 132510867078 194495692562 265021734156 291743538843 388991385124 583487077686 926413693519 1166974155372 1852827387038 2779241080557 3705654774076 5558482161114 11116964322228 17601860176861 35203720353722 52805580530583 70407440707444 105611161061166 211222322122332