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22011212223 = 32711135346099
BaseRepresentation
bin10100011111111110…
…000111000110111111
32002210222222102202100
4110133332013012333
5330034332242343
614040052400143
71406313134250
oct243776070677
962728872670
1022011212223
119375834590
124323616053
1320ca279540
1410cb45cb27
1588c5e59d3
hex51ff871bf

22011212223 has 96 divisors (see below), whose sum is σ = 43494796800. Its totient is φ = 10355454720.

The previous prime is 22011212203. The next prime is 22011212233. The reversal of 22011212223 is 32221211022.

22011212223 is a `hidden beast` number, since 220 + 11 + 212 + 223 = 666.

It is not a de Polignac number, because 22011212223 - 210 = 22011211199 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22011212196 and 22011212205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011212203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 454428 + ... + 500526.

It is an arithmetic number, because the mean of its divisors is an integer number (453070800).

Almost surely, 222011212223 is an apocalyptic number.

22011212223 is a deficient number, since it is larger than the sum of its proper divisors (21483584577).

22011212223 is a wasteful number, since it uses less digits than its factorization.

22011212223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46189 (or 46186 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22011212223 its reverse (32221211022), we get a palindrome (54232423245).

The spelling of 22011212223 in words is "twenty-two billion, eleven million, two hundred twelve thousand, two hundred twenty-three".

Divisors: 1 3 7 9 11 13 21 33 39 53 63 77 91 99 117 143 159 231 273 371 429 477 583 689 693 819 1001 1113 1287 1749 2067 3003 3339 4081 4823 5247 6201 7579 9009 12243 14469 22737 36729 43407 46099 53053 68211 138297 159159 322693 414891 477477 507089 599287 968079 1521267 1797861 2443247 2904237 3549623 4195009 4563801 5393583 6592157 7329741 10648869 12585027 17102729 19776471 21989223 26875717 31762211 31946607 37755081 46145099 51308187 59329413 80627151 95286633 138435297 153924561 188130019 222335477 241881453 285859899 349384321 415305891 564390057 667006431 1048152963 1693170171 2001019293 2445690247 3144458889 7337070741 22011212223