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22022122641420 = 22351154796089953
BaseRepresentation
bin1010000000111011011001…
…10011000001100000001100
32212222021221120221222111110
411000131230303001200030
510341302301344011140
6114500453512052020
74432021504620546
oct500355463014014
985867846858443
1022022122641420
11702059112a850
122578050394010
13c398a5c0a375
14561c3ac94696
15282ca511a380
hex14076ccc180c

22022122641420 has 96 divisors (see below), whose sum is σ = 67279863006720. Its totient is φ = 5337721128960.

The previous prime is 22022122641373. The next prime is 22022122641427. The reversal of 22022122641420 is 2414622122022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (22022122641427) 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 31 ways as a sum of consecutive naturals, for example, 571164 + ... + 6661116.

It is an arithmetic number, because the mean of its divisors is an integer number (700831906320).

Almost surely, 222022122641420 is an apocalyptic number.

22022122641420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22022122641420 is an abundant number, since it is smaller than the sum of its proper divisors (45257740365300).

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

22022122641420 is a wasteful number, since it uses less digits than its factorization.

22022122641420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6095455 (or 6095453 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 22022122641420 its reverse (2414622122022), we get a palindrome (24436744763442).

The spelling of 22022122641420 in words is "twenty-two trillion, twenty-two billion, one hundred twenty-two million, six hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 5479 10958 16437 21916 27395 32874 54790 60269 65748 82185 109580 120538 164370 180807 241076 301345 328740 361614 602690 723228 904035 1205380 1808070 3616140 6089953 12179906 18269859 24359812 30449765 36539718 60899530 66989483 73079436 91349295 121799060 133978966 182698590 200968449 267957932 334947415 365397180 401936898 669894830 803873796 1004842245 1339789660 2009684490 4019368980 33366852487 66733704974 100100557461 133467409948 166834262435 200201114922 333668524870 367035377357 400402229844 500502787305 667337049740 734070754714 1001005574610 1101106132071 1468141509428 1835176886785 2002011149220 2202212264142 3670353773570 4404424528284 5505530660355 7340707547140 11011061320710 22022122641420