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22201012102200 = 23352159912313907
BaseRepresentation
bin1010000110001000100110…
…11100001010010000111000
32220121101200201001011022220
411003010103130022100320
510402220133044232300
6115115000522044040
74450653530141151
oct503042334122070
986541621034286
1022201012102200
11708a43a609418
1225a6856049620
13c50714750ac9
1456a76b3aa928
152877750a9da0
hex14311370a438

22201012102200 has 96 divisors (see below), whose sum is σ = 68827471128960. Its totient is φ = 5919897110400.

The previous prime is 22201012102183. The next prime is 22201012102201. The reversal of 22201012102200 is 220121010222.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 22201012102200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201012102201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8437647 + ... + 10751553.

It is an arithmetic number, because the mean of its divisors is an integer number (716952824260).

Almost surely, 222201012102200 is an apocalyptic number.

22201012102200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22201012102200 is an abundant number, since it is smaller than the sum of its proper divisors (46626459026760).

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

22201012102200 is a wasteful number, since it uses less digits than its factorization.

22201012102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329917 (or 2329908 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22201012102200 its reverse (220121010222), we get a palindrome (22421133112422).

The spelling of 22201012102200 in words is "twenty-two trillion, two hundred one billion, twelve million, one hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 15991 31982 47973 63964 79955 95946 127928 159910 191892 239865 319820 383784 399775 479730 639640 799550 959460 1199325 1599100 1918920 2313907 2398650 3198200 4627814 4797300 6941721 9255628 9594600 11569535 13883442 18511256 23139070 27766884 34708605 46278140 55533768 57847675 69417210 92556280 115695350 138834420 173543025 231390700 277668840 347086050 462781400 694172100 1388344200 37001686837 74003373674 111005060511 148006747348 185008434185 222010121022 296013494696 370016868370 444020242044 555025302555 740033736740 888040484088 925042170925 1110050605110 1480067473480 1850084341850 2220101210220 2775126512775 3700168683700 4440202420440 5550253025550 7400337367400 11100506051100 22201012102200