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22001001222112 = 251174384122267
BaseRepresentation
bin1010000000010100000011…
…10111001100111111100000
32212220021102121021201011021
411000022001313030333200
510340431022303101422
6114443042002455224
74430343214540603
oct500120167147740
985807377251137
1022001001222112
117012632696910
122573b36964514
13c378bb0c2613
14560bd5a9633a
1528246abd6dc7
hex140281dccfe0

22001001222112 has 48 divisors (see below), whose sum is σ = 47315747348352. Its totient is φ = 9986995419520.

The previous prime is 22001001222103. The next prime is 22001001222113. The reversal of 22001001222112 is 21122210010022.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001001222113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41799598 + ... + 42322669.

It is an arithmetic number, because the mean of its divisors is an integer number (985744736424).

Almost surely, 222001001222112 is an apocalyptic number.

22001001222112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

22001001222112 is an abundant number, since it is smaller than the sum of its proper divisors (25314746126240).

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

22001001222112 is a wasteful number, since it uses less digits than its factorization.

22001001222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84123031 (or 84123023 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 22001001222112 its reverse (21122210010022), we get a palindrome (43123211232134).

The spelling of 22001001222112 in words is "twenty-two trillion, one billion, one million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 743 1486 2972 5944 8173 11888 16346 23776 32692 65384 130768 261536 84122267 168244534 336489068 672978136 925344937 1345956272 1850689874 2691912544 3701379748 7402759496 14805518992 29611037984 62502844381 125005688762 250011377524 500022755048 687531288191 1000045510096 1375062576382 2000091020192 2750125152764 5500250305528 11000500611056 22001001222112