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2242168659840 = 27356803171659
BaseRepresentation
bin100000101000001011101…
…010101001111110000000
321221100102120220101222210
4200220023222221332000
5243213430134103330
64434012115502120
7320664013102224
oct40501352517600
97840376811883
102242168659840
1179499783428a
123026698b7940
13133588013475
147a74317c784
153d4cd5148b0
hex20a0baa9f80

2242168659840 has 128 divisors (see below), whose sum is σ = 7148004796800. Its totient is φ = 597820270592.

The previous prime is 2242168659833. The next prime is 2242168659859. The reversal of 2242168659840 is 489568612422.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 12975931 + ... + 13147589.

It is an arithmetic number, because the mean of its divisors is an integer number (55843787475).

Almost surely, 22242168659840 is an apocalyptic number.

2242168659840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2242168659840 is an abundant number, since it is smaller than the sum of its proper divisors (4905836136960).

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

2242168659840 is a wasteful number, since it uses less digits than its factorization.

2242168659840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178484 (or 178472 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 2242168659840 in words is "two trillion, two hundred forty-two billion, one hundred sixty-eight million, six hundred fifty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 6803 13606 20409 27212 34015 40818 54424 68030 81636 102045 108848 136060 163272 171659 204090 217696 272120 326544 343318 408180 435392 514977 544240 653088 686636 816360 858295 870784 1029954 1088480 1306176 1373272 1632720 1716590 2059908 2176960 2574885 2612352 2746544 3265440 3433180 4119816 4353920 5149770 5493088 6530880 6866360 8239632 10299540 10986176 13061760 13732720 16479264 20599080 21972352 27465440 32958528 41198160 54930880 65917056 82396320 109861760 164792640 329585280 1167796177 2335592354 3503388531 4671184708 5838980885 7006777062 9342369416 11677961770 14013554124 17516942655 18684738832 23355923540 28027108248 35033885310 37369477664 46711847080 56054216496 70067770620 74738955328 93423694160 112108432992 140135541240 149477910656 186847388320 224216865984 280271082480 373694776640 448433731968 560542164960 747389553280 1121084329920 2242168659840