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22744114427100 = 223521113152611877
BaseRepresentation
bin1010010101111100001101…
…10111000111010011011100
32222112022112102212211210010
411022332012313013103130
510440114421243131400
6120212300225443220
74535131233551403
oct512760667072334
988468472784703
1022744114427100
1172797a7724530
122673b65aa0510
13c8c9b75b1431
14588b6cbdc63a
1529695ec2c450
hex14af86dc74dc

22744114427100 has 144 divisors (see below), whose sum is σ = 72336702404736. Its totient is φ = 5471635104000.

The previous prime is 22744114427039. The next prime is 22744114427113. The reversal of 22744114427100 is 172441144722.

It is a super-2 number, since 2×227441144271002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 25873639 + ... + 26738238.

It is an arithmetic number, because the mean of its divisors is an integer number (502338211144).

Almost surely, 222744114427100 is an apocalyptic number.

22744114427100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22744114427100 is an abundant number, since it is smaller than the sum of its proper divisors (49592587977636).

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

22744114427100 is a wasteful number, since it uses less digits than its factorization.

22744114427100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52612036 (or 52612029 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 39.

The spelling of 22744114427100 in words is "twenty-two trillion, seven hundred forty-four billion, one hundred fourteen million, four hundred twenty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 131 132 150 165 220 262 275 300 330 393 524 550 655 660 786 825 1100 1310 1441 1572 1650 1965 2620 2882 3275 3300 3930 4323 5764 6550 7205 7860 8646 9825 13100 14410 17292 19650 21615 28820 36025 39300 43230 72050 86460 108075 144100 216150 432300 52611877 105223754 157835631 210447508 263059385 315671262 526118770 578730647 631342524 789178155 1052237540 1157461294 1315296925 1578356310 1736191941 2314922588 2630593850 2893653235 3156712620 3472383882 3945890775 5261187700 5787306470 6892155887 6944767764 7891781550 8680959705 11574612940 13784311774 14468266175 15783563100 17361919410 20676467661 27568623548 28936532350 34460779435 34723838820 41352935322 43404798525 57873064700 68921558870 75813714757 82705870644 86809597050 103382338305 137843117740 151627429514 172303897175 173619194100 206764676610 227441144271 303254859028 344607794350 379068573785 413529353220 454882288542 516911691525 689215588700 758137147570 909764577084 1033823383050 1137205721355 1516274295140 1895342868925 2067646766100 2274411442710 3790685737850 4548822885420 5686028606775 7581371475700 11372057213550 22744114427100