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22735230133224 = 2337435428757973
BaseRepresentation
bin1010010101101011101010…
…10100001110001111101000
32222111110121021111221201210
411022311311110032033220
510434443222403230344
6120204230500313120
74534365124366110
oct512656524161750
988443537457653
1022735230133224
117275a58781aa4
1226722a66a27a0
13c8bbccab37cb
14588568d06040
152965deca8db9
hex14ad7550e3e8

22735230133224 has 128 divisors (see below), whose sum is σ = 66470817853440. Its totient is φ = 6344489071872.

The previous prime is 22735230133219. The next prime is 22735230133247. The reversal of 22735230133224 is 42233103253722.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 392140302 + ... + 392198274.

It is an arithmetic number, because the mean of its divisors is an integer number (519303264480).

Almost surely, 222735230133224 is an apocalyptic number.

22735230133224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22735230133224 is an abundant number, since it is smaller than the sum of its proper divisors (43735587720216).

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

22735230133224 is a wasteful number, since it uses less digits than its factorization.

22735230133224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112319 (or 112315 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 39.

Adding to 22735230133224 its reverse (42233103253722), we get a palindrome (64968333386946).

The spelling of 22735230133224 in words is "twenty-two trillion, seven hundred thirty-five billion, two hundred thirty million, one hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 56 84 86 129 168 172 258 301 344 516 602 903 1032 1204 1806 2408 3612 7224 54287 57973 108574 115946 162861 173919 217148 231892 325722 347838 380009 405811 434296 463784 651444 695676 760018 811622 1140027 1217433 1302888 1391352 1520036 1623244 2280054 2334341 2434866 2492839 3040072 3246488 4560108 4668682 4869732 4985678 7003023 7478517 9120216 9337364 9739464 9971356 14006046 14957034 16340387 17449873 18674728 19942712 28012092 29914068 32680774 34899746 49021161 52349619 56024184 59828136 65361548 69799492 98042322 104699238 130723096 139598984 196084644 209398476 392169288 418796952 3147180251 6294360502 9441540753 12588721004 18883081506 22030261757 25177442008 37766163012 44060523514 66090785271 75532326024 88121047028 132181570542 135328750793 176242094056 264363141084 270657501586 405986252379 528726282168 541315003172 811972504758 947301255551 1082630006344 1623945009516 1894602511102 2841903766653 3247890019032 3789205022204 5683807533306 7578410044408 11367615066612 22735230133224