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22004112012240 = 2435837207153271
BaseRepresentation
bin1010000000011001110110…
…10001111011001111010000
32212220120110101210012222110
411000030323101323033100
510341003410133342430
6114444314405505320
74430513260035561
oct500147321731720
985816411705873
1022004112012240
117013989648546
122574664712240
13c37c95727a37
1456100cc9c168
1528259dd627b0
hex14033b47b3d0

22004112012240 has 160 divisors (see below), whose sum is σ = 69044616861696. Its totient is φ = 5796225077760.

The previous prime is 22004112012167. The next prime is 22004112012343. The reversal of 22004112012240 is 4221021140022.

It is a congruent number.

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, 143486805 + ... + 143640075.

Almost surely, 222004112012240 is an apocalyptic number.

22004112012240 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 22004112012240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34522308430848).

22004112012240 is an abundant number, since it is smaller than the sum of its proper divisors (47040504849456).

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

22004112012240 is a wasteful number, since it uses less digits than its factorization.

22004112012240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160577 (or 160571 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 22004112012240 its reverse (4221021140022), we get a palindrome (26225133152262).

The spelling of 22004112012240 in words is "twenty-two trillion, four billion, one hundred twelve million, twelve thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 83 120 166 240 249 332 415 498 664 830 996 1245 1328 1660 1992 2490 3320 3984 4980 6640 7207 9960 14414 19920 21621 28828 36035 43242 57656 72070 86484 108105 115312 144140 153271 172968 216210 288280 306542 345936 432420 459813 576560 598181 613084 766355 864840 919626 1196362 1226168 1532710 1729680 1794543 1839252 2299065 2392724 2452336 2990905 3065420 3589086 3678504 4598130 4785448 5981810 6130840 7178172 7357008 8972715 9196260 9570896 11963620 12261680 12721493 14356344 17945430 18392520 23927240 25442986 28712688 35890860 36785040 38164479 47854480 50885972 63607465 71781720 76328958 101771944 127214930 143563440 152657916 190822395 203543888 254429860 305315832 381644790 508859720 610631664 763289580 1017719440 1104624097 1526579160 2209248194 3053158320 3313872291 4418496388 5523120485 6627744582 8836992776 11046240970 13255489164 16569361455 17673985552 22092481940 26510978328 33138722910 44184963880 53021956656 66277445820 88369927760 91683800051 132554891640 183367600102 265109783280 275051400153 366735200204 458419000255 550102800306 733470400408 916838000510 1100205600612 1375257000765 1466940800816 1833676001020 2200411201224 2750514001530 3667352002040 4400822402448 5501028003060 7334704004080 11002056006120 22004112012240