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22414234054540 = 22511348527204377
BaseRepresentation
bin1010001100010101110000…
…11101010110111110001100
32221100210001111202121122211
411012022320131112332030
510414213322404221130
6115400542412320204
74502242420630156
oct506127035267614
987323044677584
1022414234054540
117161906871059
122620041773064
13c67865113c03
14576bd74b1ad6
1528d0a41c4a2a
hex1462b8756f8c

22414234054540 has 48 divisors (see below), whose sum is σ = 47487650136192. Its totient is φ = 8886124599296.

The previous prime is 22414234054529. The next prime is 22414234054543. The reversal of 22414234054540 is 4545043241422.

It is a super-2 number, since 2×224142340545402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22414234054493 and 22414234054502.

It is not an unprimeable number, because it can be changed into a prime (22414234054543) 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 15 ways as a sum of consecutive naturals, for example, 109568832 + ... + 109773208.

It is an arithmetic number, because the mean of its divisors is an integer number (989326044504).

Almost surely, 222414234054540 is an apocalyptic number.

22414234054540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22414234054540 is an abundant number, since it is smaller than the sum of its proper divisors (25073416081652).

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

22414234054540 is a wasteful number, since it uses less digits than its factorization.

22414234054540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253026 (or 253024 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

Adding to 22414234054540 its reverse (4545043241422), we get a palindrome (26959277295962).

The spelling of 22414234054540 in words is "twenty-two trillion, four hundred fourteen billion, two hundred thirty-four million, fifty-four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 113 226 452 565 1130 2260 48527 97054 194108 204377 242635 408754 485270 817508 970540 1021885 2043770 4087540 5483551 10967102 21934204 23094601 27417755 46189202 54835510 92378404 109671020 115473005 230946010 461892020 9917802679 19835605358 39671210716 49589013395 99178026790 198356053580 1120711702727 2241423405454 4482846810908 5603558513635 11207117027270 22414234054540