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22132443252305 = 56729710165717
BaseRepresentation
bin1010000100001000111000…
…11010110000011001010001
32220100211201000122200022202
411002010130122300121101
510400104220433033210
6115023300513412545
74443005401422611
oct502043432603121
986324630580282
1022132443252305
117063353251631
1225954ba56a155
13c47107970549
14567304894a41
15285ab04439a5
hex14211c6b0651

22132443252305 has 24 divisors (see below), whose sum is σ = 27239204032488. Its totient is φ = 17261873722368.

The previous prime is 22132443252301. The next prime is 22132443252313. The reversal of 22132443252305 is 50325234423122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 15513449809 + 22116929802496 = 124553^2 + 4702864^2 .

It is not a de Polignac number, because 22132443252305 - 22 = 22132443252301 is a prime.

It is a super-2 number, since 2×221324432523052 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22132443252301) 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 23 ways as a sum of consecutive naturals, for example, 2905694 + ... + 7260023.

It is an arithmetic number, because the mean of its divisors is an integer number (1134966834687).

Almost surely, 222132443252305 is an apocalyptic number.

It is an amenable number.

22132443252305 is a deficient number, since it is larger than the sum of its proper divisors (5106760780183).

22132443252305 is an equidigital number, since it uses as much as digits as its factorization.

22132443252305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10165953 (or 10165886 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 38.

Adding to 22132443252305 its reverse (50325234423122), we get a palindrome (72457677675427).

The spelling of 22132443252305 in words is "twenty-two trillion, one hundred thirty-two billion, four hundred forty-three million, two hundred fifty-two thousand, three hundred five".

Divisors: 1 5 67 97 335 485 4489 6499 22445 32495 435433 2177165 10165717 50828585 681103039 986074549 3405515195 4930372745 45633903613 66066994783 228169518065 330334973915 4426488650461 22132443252305