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22012122020220 = 223251096731667047
BaseRepresentation
bin1010000000101000110001…
…01101101011100101111100
32212221100010122000210020200
411000110120231223211330
510341121311214121340
6114452121304043500
74431215622010533
oct500243055534574
985840118023220
1022012122020220
11701731a031052
12257611b163590
13c38971063227
1456156ca0d31a
152828bc188330
hex140518b6b97c

22012122020220 has 144 divisors (see below), whose sum is σ = 67482836541120. Its totient is φ = 5807401463808.

The previous prime is 22012122020209. The next prime is 22012122020263. The reversal of 22012122020220 is 2202022121022.

22012122020220 is a `hidden beast` number, since 2 + 201 + 2 + 1 + 220 + 20 + 220 = 666.

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 = 22012122020193 and 22012122020202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12370737 + ... + 14037783.

Almost surely, 222012122020220 is an apocalyptic number.

22012122020220 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 22012122020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33741418270560).

22012122020220 is an abundant number, since it is smaller than the sum of its proper divisors (45470714520900).

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

22012122020220 is a wasteful number, since it uses less digits than its factorization.

22012122020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667844 (or 1667839 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22012122020220 its reverse (2202022121022), we get a palindrome (24214144141242).

The spelling of 22012122020220 in words is "twenty-two trillion, twelve billion, one hundred twenty-two million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 673 981 1090 1308 1346 1635 1962 2019 2180 2692 3270 3365 3924 4038 4905 6057 6540 6730 8076 9810 10095 12114 13460 19620 20190 24228 30285 40380 60570 73357 121140 146714 220071 293428 366785 440142 660213 733570 880284 1100355 1320426 1467140 1667047 2200710 2640852 3301065 3334094 4401420 5001141 6602130 6668188 8335235 10002282 13204260 15003423 16670470 20004564 25005705 30006846 33340940 50011410 60013692 75017115 100022820 150034230 181708123 300068460 363416246 545124369 726832492 908540615 1090248738 1121922631 1635373107 1817081230 2180497476 2243845262 2725621845 3270746214 3365767893 3634162460 4487690524 5451243690 5609613155 6541492428 6731535786 8176865535 10097303679 10902487380 11219226310 13463071572 16353731070 16828839465 20194607358 22438452620 32707462140 33657678930 40389214716 50486518395 67315357860 100973036790 122289566779 201946073580 244579133558 366868700337 489158267116 611447833895 733737400674 1100606101011 1222895667790 1467474801348 1834343501685 2201212202022 2445791335580 3668687003370 4402424404044 5503030505055 7337374006740 11006061010110 22012122020220