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22434114134020 = 225531031277160907
BaseRepresentation
bin1010001100111010110010…
…11001110110000000000100
32221102200100222122021212211
411012131121121312000010
510420030031204242040
6115414031215353204
74503545155543441
oct506353131660004
987380328567784
1022434114134020
11716a288633006
122623a6b522804
13c696b29c1b54
14577b6189c9c8
1528d8696538ea
hex146759676004

22434114134020 has 96 divisors (see below), whose sum is σ = 48504818089728. Its totient is φ = 8711970888192.

The previous prime is 22434114133969. The next prime is 22434114134051. The reversal of 22434114134020 is 2043141143422.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 139342407 + ... + 139503313.

It is an arithmetic number, because the mean of its divisors is an integer number (505258521768).

Almost surely, 222434114134020 is an apocalyptic number.

22434114134020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22434114134020 is an abundant number, since it is smaller than the sum of its proper divisors (26070703955708).

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

22434114134020 is a wasteful number, since it uses less digits than its factorization.

22434114134020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162349 (or 162347 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 22434114134020 its reverse (2043141143422), we get a palindrome (24477255277442).

The spelling of 22434114134020 in words is "twenty-two trillion, four hundred thirty-four billion, one hundred fourteen million, one hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 53 103 106 206 212 265 412 515 530 1030 1060 1277 2060 2554 5108 5459 6385 10918 12770 21836 25540 27295 54590 67681 109180 131531 135362 160907 263062 270724 321814 338405 526124 643628 657655 676810 804535 1315310 1353620 1609070 2630620 3218140 6971143 8528071 13942286 16573421 17056142 27884572 33146842 34112284 34855715 42640355 66293684 69711430 82867105 85280710 139422860 165734210 170561420 205478239 331468420 410956478 821912956 878391313 1027391195 1756782626 2054782390 3513565252 4109564780 4391956565 8783913130 10890346667 17567826260 21164258617 21780693334 42328517234 43561386668 54451733335 84657034468 105821293085 108903466670 211642586170 217806933340 423285172340 1121705706701 2243411413402 4486822826804 5608528533505 11217057067010 22434114134020