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20222122212222 = 23722832053118387
BaseRepresentation
bin1001001100100010101000…
…11010010011101101111110
32122121012211110121000021120
410212101110122103231332
510122304401241242342
6111001525324011410
74155000016461300
oct446212432235576
978535743530246
1020222122212222
116497176887757
122327223990b66
13b38c268749c8
144dca82413970
15251055529aec
hex126454693b7e

20222122212222 has 96 divisors (see below), whose sum is σ = 47237027939712. Its totient is φ = 5754480169536.

The previous prime is 20222122212209. The next prime is 20222122212239. The reversal of 20222122212222 is 22221222122202.

It is a junction number, because it is equal to n+sod(n) for n = 20222122212192 and 20222122212201.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 170754513 + ... + 170872899.

It is an arithmetic number, because the mean of its divisors is an integer number (492052374372).

Almost surely, 220222122212222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20222122212222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23618513969856).

20222122212222 is an abundant number, since it is smaller than the sum of its proper divisors (27014905727490).

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

20222122212222 is a wasteful number, since it uses less digits than its factorization.

20222122212222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120742 (or 120735 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 20222122212222 its reverse (22221222122202), we get a palindrome (42443344334424).

The spelling of 20222122212222 in words is "twenty trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 283 294 566 849 1698 1981 2053 3962 4106 5943 6159 11886 12318 13867 14371 27734 28742 41601 43113 83202 86226 100597 118387 201194 236774 301791 355161 580999 603582 710322 828709 1161998 1657418 1742997 2486127 3485994 4066993 4972254 5800963 8133986 11601926 12200979 17402889 24401958 28468951 33503521 34805778 56937902 67007042 85406853 100510563 170813706 201021126 234524647 243048511 469049294 486097022 703573941 729145533 1407147882 1458291066 1641672529 1701339577 3283345058 3402679154 4925017587 5104018731 9850035174 10208037462 11909377039 23818754078 35728131117 68782728613 71456262234 137565457226 206348185839 412696371678 481479100291 962958200582 1444437300873 2888874601746 3370353702037 6740707404074 10111061106111 20222122212222