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22221110100020 = 225132231667171469
BaseRepresentation
bin1010000110101110000010…
…10111111100000000110100
32220200022120100222020022112
411003113001113330000310
510403032313141200040
6115132123111550152
74452264552251036
oct503270127740064
986608510866275
1022221110100020
117097a13391677
1225aa72498b358
13c5259851ab00
1456b7166c1c56
1528804e732365
hex1435c15fc034

22221110100020 has 144 divisors (see below), whose sum is σ = 52758910189440. Its totient is φ = 7843237129728.

The previous prime is 22221110099999. The next prime is 22221110100029. The reversal of 22221110100020 is 2000101112222.

It is a junction number, because it is equal to n+sod(n) for n = 22221110099968 and 22221110100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22221110100029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 129506846 + ... + 129678314.

It is an arithmetic number, because the mean of its divisors is an integer number (366381320760).

Almost surely, 222221110100020 is an apocalyptic number.

22221110100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22221110100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26379455094720).

22221110100020 is an abundant number, since it is smaller than the sum of its proper divisors (30537800089420).

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

22221110100020 is a wasteful number, since it uses less digits than its factorization.

22221110100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173194 (or 173179 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22221110100020 its reverse (2000101112222), we get a palindrome (24221211212242).

The spelling of 22221110100020 in words is "twenty-two trillion, two hundred twenty-one billion, one hundred ten million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 169 230 260 299 338 460 598 676 845 1196 1495 1667 1690 2990 3334 3380 3887 5980 6668 7774 8335 15548 16670 19435 21671 33340 38341 38870 43342 76682 77740 86684 108355 153364 171469 191705 216710 281723 342938 383410 433420 498433 563446 685876 766820 857345 996866 1126892 1408615 1714690 1993732 2229097 2492165 2817230 3429380 3943787 4458194 4984330 5634460 6479629 7887574 8916388 9968660 11145485 12959258 15775148 19718935 22290970 25918516 28978261 32398145 39437870 44581940 51269231 57956522 64796290 78875740 102538462 115913044 129592580 144891305 205076924 256346155 285838823 289782610 512692310 571677646 579565220 666500003 1025384620 1143355292 1333000006 1429194115 2666000012 2858388230 3332500015 3715904699 5716776460 6574292929 6665000030 7431809398 13148585858 13330000060 14863618796 18579523495 26297171716 32871464645 37159046990 48306761087 65742929290 74318093980 85465808077 96613522174 131485858580 170931616154 193227044348 241533805435 341863232308 427329040385 483067610870 854658080770 966135221740 1111055505001 1709316161540 2222111010002 4444222020004 5555277525005 11110555050010 22221110100020