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20022011112222 = 23272192011594119
BaseRepresentation
bin1001000110101101111001…
…10111000010101100011110
32121220002022101020212020100
410203112330313002230132
510111020034321042342
6110325552424401530
74134354046261500
oct443267467025436
977802271225210
1020022011112222
11641a318333479
1222b44970162a6
13b230b55268b2
144d30db691d70
1524ac4245be4c
hex1235bcdc2b1e

20022011112222 has 144 divisors (see below), whose sum is σ = 53146125302400. Its totient is φ = 5416787688480.

The previous prime is 20022011112217. The next prime is 20022011112227. The reversal of 20022011112222 is 22221111022002.

It is a happy number.

20022011112222 is a `hidden beast` number, since 200 + 220 + 1 + 11 + 12 + 222 = 666.

It is an interprime number because it is at equal distance from previous prime (20022011112217) and next prime (20022011112227).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 20022011112195 and 20022011112204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022011112227) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33403279 + ... + 33997397.

It is an arithmetic number, because the mean of its divisors is an integer number (369070314600).

Almost surely, 220022011112222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20022011112222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26573062651200).

20022011112222 is an abundant number, since it is smaller than the sum of its proper divisors (33124114190178).

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

20022011112222 is a wasteful number, since it uses less digits than its factorization.

20022011112222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596171 (or 596161 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20022011112222 its reverse (22221111022002), we get a palindrome (42243122134224).

The spelling of 20022011112222 in words is "twenty trillion, twenty-two billion, eleven million, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 49 57 63 98 114 126 133 147 171 266 294 342 399 441 798 882 931 1197 1862 2011 2394 2793 4022 5586 6033 8379 12066 14077 16758 18099 28154 36198 38209 42231 76418 84462 98539 114627 126693 197078 229254 253386 267463 295617 343881 534926 591234 594119 687762 802389 886851 1188238 1604778 1773702 1782357 1872241 2407167 3564714 3744482 4158833 4814334 5347071 5616723 8317666 10694142 11233446 11288261 12476499 16850169 22576522 24952998 29111831 33700338 33864783 37429497 58223662 67729566 74858994 79017827 87335493 101594349 158035654 174670986 203188698 237053481 262006479 474106962 524012958 553124789 711160443 1106249578 1194773309 1422320886 1659374367 2389546618 3318748734 3584319927 4978123101 7168639854 8363413163 9956246202 10752959781 16726826326 21505919562 22700692871 25090239489 45401385742 50180478978 58543892141 68102078613 75270718467 117087784282 136204157226 150541436934 158904850097 175631676423 204306235839 317809700194 351263352846 408612471678 476714550291 526895029269 953429100582 1053790058538 1112333950679 1430143650873 2224667901358 2860287301746 3337001852037 6674003704074 10011005556111 20022011112222