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22032235031441 = 2813131364918353
BaseRepresentation
bin1010000001001110001111…
…00010101110101110010001
32220000021001100012121202012
411000213013202232232101
510341434004132001231
6114505245151432305
74432530215540315
oct500470742565621
986007040177665
1022032235031441
117024900329078
122579bb2b25695
13c3a827c889bb
14562519d11b45
15283197cc8e2b
hex1409c78aeb91

22032235031441 has 16 divisors (see below), whose sum is σ = 22184116390800. Its totient is φ = 21880892866560.

The previous prime is 22032235031419. The next prime is 22032235031479. The reversal of 22032235031441 is 14413053223022.

It can be written as a sum of positive squares in 8 ways, for example, as 11464996000000 + 10567239031441 = 3386000^2 + 3250729^2 .

It is a cyclic number.

It is not a de Polignac number, because 22032235031441 - 226 = 22032167922577 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22032235031398 and 22032235031407.

It is not an unprimeable number, because it can be changed into a prime (22032235031491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1200461321 + ... + 1200479673.

It is an arithmetic number, because the mean of its divisors is an integer number (1386507274425).

Almost surely, 222032235031441 is an apocalyptic number.

It is an amenable number.

22032235031441 is a deficient number, since it is larger than the sum of its proper divisors (151881359359).

22032235031441 is a wasteful number, since it uses less digits than its factorization.

22032235031441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32596.

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 22032235031441 its reverse (14413053223022), we get a palindrome (36445288254463).

The spelling of 22032235031441 in words is "twenty-two trillion, thirty-two billion, two hundred thirty-five million, thirty-one thousand, four hundred forty-one".

Divisors: 1 281 313 13649 18353 87953 3835369 4272137 5157193 5744489 250500097 1200470497 1614201409 70390527257 78406530361 22032235031441