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10011223222 = 27211213101643
BaseRepresentation
bin10010101001011011…
…10010010010110110
3221211200212211111021
421110231302102312
5131000333120342
64333223131354
7503041664500
oct112455622266
927750784437
1010011223222
114278090200
121b348a3b5a
13c37119a30
146ad844d70
153d8d78567
hex254b724b6

10011223222 has 144 divisors (see below), whose sum is σ = 20915190576. Its totient is φ = 3559248000.

The previous prime is 10011223219. The next prime is 10011223241. The reversal of 10011223222 is 22232211001.

It is a happy number.

10011223222 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 2×100112232222 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011223196 and 10011223205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15569233 + ... + 15569875.

It is an arithmetic number, because the mean of its divisors is an integer number (145244379).

Almost surely, 210011223222 is an apocalyptic number.

10011223222 is an abundant number, since it is smaller than the sum of its proper divisors (10903967354).

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

10011223222 is a wasteful number, since it uses less digits than its factorization.

10011223222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10011223222 its reverse (22232211001), we get a palindrome (32243434223).

The spelling of 10011223222 in words is "ten billion, eleven million, two hundred twenty-three thousand, two hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 101 121 143 154 182 202 242 286 539 637 643 707 847 1001 1078 1111 1274 1286 1313 1414 1573 1694 2002 2222 2626 3146 4501 4949 5929 7007 7073 7777 8359 9002 9191 9898 11011 11858 12221 14014 14146 14443 15554 16718 18382 22022 24442 28886 31507 49511 54439 58513 63014 64337 64943 77077 77803 85547 91949 99022 101101 108878 117026 128674 129886 154154 155606 158873 171094 183898 202202 317746 346577 409591 454601 544621 598829 643643 693154 707707 714373 819182 844259 909202 1011439 1089242 1112111 1197658 1287286 1415414 1428746 1688518 2022878 2224222 3182207 3812347 4505501 5000611 5909813 6364414 7080073 7624694 7784777 7858103 9011002 9286849 10001222 11819626 14160146 15569554 15716206 18573698 35004277 41368691 49560511 55006721 65007943 70008554 82737382 99121022 102155339 110013442 130015886 204310678 385047047 455055601 715087373 770094094 910111202 1430174746 5005611611 10011223222