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22003320220112 = 24711414133105397
BaseRepresentation
bin1010000000011000011000…
…00101011110100111010000
32212220111102012220000101002
411000030030011132213100
510341000244434020422
6114444104043001132
74430454533645660
oct500141405364720
985814365800332
1022003320220112
117013612703390
1225744835091a8
13c37b9a689a9a
14560d75a6c1a0
152825545ac692
hex14030c15e9d0

22003320220112 has 160 divisors (see below), whose sum is σ = 54460930777344. Its totient is φ = 8361528422400.

The previous prime is 22003320220067. The next prime is 22003320220127. The reversal of 22003320220112 is 21102202330022.

It is a happy number.

It is a super-2 number, since 2×220033202201122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208713398 + ... + 208818794.

Almost surely, 222003320220112 is an apocalyptic number.

22003320220112 is a gapful number since it is divisible by the number (22) 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 22003320220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27230465388672).

22003320220112 is an abundant number, since it is smaller than the sum of its proper divisors (32457610557232).

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

22003320220112 is a wasteful number, since it uses less digits than its factorization.

22003320220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109597 (or 109591 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 22003320220112 its reverse (21102202330022), we get a palindrome (43105522550134).

The spelling of 22003320220112 in words is "twenty-two trillion, three billion, three hundred twenty million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 41 44 56 77 82 88 112 154 164 176 287 308 328 451 574 616 656 902 1148 1232 1804 2296 3157 3608 4133 4592 6314 7216 8266 12628 16532 25256 28931 33064 45463 50512 57862 66128 90926 105397 115724 169453 181852 210794 231448 318241 338906 363704 421588 462896 636482 677812 727408 737779 843176 1159367 1186171 1272964 1355624 1475558 1686352 1863983 2318734 2372342 2545928 2711248 2951116 3727966 4321277 4637468 4744684 5091856 5902232 7455932 8115569 8642554 9274936 9489368 11804464 13047881 14911864 16231138 17285108 18549872 18978736 26095762 29823728 30248939 32462276 34570216 47534047 52191524 60497878 64924552 69140432 95068094 104383048 120995756 129849104 190136188 208766096 241991512 332738329 380272376 435605801 483983024 665476658 760544752 871211602 1330953316 1742423204 2661906632 3049240607 3484846408 4791663811 5323813264 6098481214 6969692816 9583327622 12196962428 17859837841 19166655244 24393924856 33541646677 35719675682 38333310488 48787849712 67083293354 71439351364 76666620976 125018864887 134166586708 142878702728 196458216251 250037729774 268333173416 285757405456 392916432502 500075459548 536666346832 785832865004 1000150919096 1375207513757 1571665730008 2000301838192 2750415027514 3143331460016 5500830055028 11001660110056 22003320220112