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22002212221220 = 22571128150843953
BaseRepresentation
bin1010000000010110010100…
…00010110011000100100100
32212220101112222222211122002
411000023022002303010210
510340441012312034340
6114443402102424432
74430415221056340
oct500131202630444
985811488884562
1022002212221220
1170130a4225420
122574214432118
13c37a51c6833a
14560cac84a620
152824dc196715
hex1402ca0b3124

22002212221220 has 96 divisors (see below), whose sum is σ = 57810795952896. Its totient is φ = 6833427148800.

The previous prime is 22002212221201. The next prime is 22002212221289. The reversal of 22002212221220 is 2212221220022.

It is a super-3 number, since 3×220022122212203 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22002212221192 and 22002212221201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24989237 + ... + 25854716.

It is an arithmetic number, because the mean of its divisors is an integer number (602195791176).

Almost surely, 222002212221220 is an apocalyptic number.

22002212221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002212221220 is an abundant number, since it is smaller than the sum of its proper divisors (35808583731676).

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

22002212221220 is a wasteful number, since it uses less digits than its factorization.

22002212221220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50844261 (or 50844259 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 22002212221220 its reverse (2212221220022), we get a palindrome (24214433441242).

The spelling of 22002212221220 in words is "twenty-two trillion, two billion, two hundred twelve million, two hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 281 308 385 562 770 1124 1405 1540 1967 2810 3091 3934 5620 6182 7868 9835 12364 15455 19670 21637 30910 39340 43274 61820 86548 108185 216370 432740 50843953 101687906 203375812 254219765 355907671 508439530 559283483 711815342 1016879060 1118566966 1423630684 1779538355 2237133932 2796417415 3559076710 3914984381 5592834830 7118153420 7829968762 11185669660 14287150793 15659937524 19574921905 28574301586 39149843810 57148603172 71435753965 78299687620 100010055551 142871507930 157158658723 200020111102 285743015860 314317317446 400040222204 500050277755 628634634892 785793293615 1000100555510 1100110611061 1571586587230 2000201111020 2200221222122 3143173174460 4400442444244 5500553055305 11001106110610 22002212221220