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22022200201200 = 2435240897448733
BaseRepresentation
bin1010000000111011100010…
…11010111000111111110000
32212222022010222220102111220
411000131301122320333300
510341302431222414300
6114500505322305040
74432023436101423
oct500356132707760
985868128812456
1022022200201200
117020620994641
122578072358180
13c398b8cc4b24
14561c472c39ba
15282cabd3ada0
hex1407716b8ff0

22022200201200 has 120 divisors (see below), whose sum is σ = 70546330119408. Its totient is φ = 5872430039040.

The previous prime is 22022200201123. The next prime is 22022200201201. The reversal of 22022200201200 is 210200222022.

22022200201200 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 22022200201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022200201201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48852034 + ... + 49300766.

Almost surely, 222022200201200 is an apocalyptic number.

22022200201200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022200201200 is an abundant number, since it is smaller than the sum of its proper divisors (48524129918208).

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

22022200201200 is a wasteful number, since it uses less digits than its factorization.

22022200201200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489651 (or 489640 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 22022200201200 its reverse (210200222022), we get a palindrome (22232400423222).

The spelling of 22022200201200 in words is "twenty-two trillion, twenty-two billion, two hundred million, two hundred one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 40897 81794 122691 163588 204485 245382 327176 408970 448733 490764 613455 654352 817940 897466 981528 1022425 1226910 1346199 1635880 1794932 1963056 2044850 2243665 2453820 2692398 3067275 3271760 3589864 4089700 4487330 4907640 5384796 6134550 6730995 7179728 8179400 8974660 9815280 10769592 11218325 12269100 13461990 16358800 17949320 21539184 22436650 24538200 26923980 33654975 35898640 44873300 49076400 53847960 67309950 89746600 107695920 134619900 179493200 269239800 538479600 18351833501 36703667002 55055500503 73407334004 91759167505 110111001006 146814668008 183518335010 220222002012 275277502515 293629336016 367036670020 440444004024 458795837525 550555005030 734073340040 880888008048 917591675050 1101110010060 1376387512575 1468146680080 1835183350100 2202220020120 2752775025150 3670366700200 4404440040240 5505550050300 7340733400400 11011100100600 22022200201200