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22144425721220 = 225112411271757363
BaseRepresentation
bin1010000100011111001101…
…01000001111110110000100
32220101222122002210011112202
411002033212220033312010
510400303240441034340
6115033001515334032
74443611340632405
oct502174650176604
986358562704482
1022144425721220
117068442019900
1225978a3451318
13c482972a763a
14567b2002b9ac
1528606239ec15
hex1423e6a0fd84

22144425721220 has 144 divisors (see below), whose sum is σ = 52774231394304. Its totient is φ = 7794251942400.

The previous prime is 22144425721213. The next prime is 22144425721331. The reversal of 22144425721220 is 2212752444122.

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, 11722259 + ... + 13479621.

It is an arithmetic number, because the mean of its divisors is an integer number (366487718016).

Almost surely, 222144425721220 is an apocalyptic number.

22144425721220 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 22144425721220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26387115697152).

22144425721220 is an abundant number, since it is smaller than the sum of its proper divisors (30629805673084).

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

22144425721220 is a wasteful number, since it uses less digits than its factorization.

22144425721220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757562 (or 1757549 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 38.

The spelling of 22144425721220 in words is "twenty-two trillion, one hundred forty-four billion, four hundred twenty-five million, seven hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 121 127 164 205 220 242 254 410 451 484 508 605 635 820 902 1210 1270 1397 1804 2255 2420 2540 2794 4510 4961 5207 5588 6985 9020 9922 10414 13970 15367 19844 20828 24805 26035 27940 30734 49610 52070 57277 61468 76835 99220 104140 114554 153670 229108 286385 307340 572770 630047 1145540 1260094 1757363 2520188 3150235 3514726 6300470 7029452 8786815 12600940 17573630 19330993 35147260 38661986 72051883 77323972 96654965 144103766 193309930 212640923 223185101 288207532 360259415 386619860 425281846 446370202 720518830 792570713 850563692 892740404 1063204615 1115925505 1441037660 1585141426 2126409230 2231851010 2455036111 3170282852 3962853565 4252818460 4463702020 4910072222 7925707130 8718277843 9150589141 9820144444 12275180555 15851414260 17436555686 18301178282 24550361110 27005397221 34873111372 36602356564 43591389215 45752945705 49100722220 54010794442 87182778430 91505891410 100656480551 108021588884 135026986105 174365556860 183011782820 201312961102 270053972210 402625922204 503282402755 540107944420 1006564805510 1107221286061 2013129611020 2214442572122 4428885144244 5536106430305 11072212860610 22144425721220