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223232422113441 = 34136722409141199
BaseRepresentation
bin110010110000011101011001…
…001110001111000010100001
31002021101210220022120112120000
4302300131121032033002201
5213224420000030112231
62110435320423410213
765010003344063556
oct6260353116170241
91067353808515500
10223232422113441
116514637a697a34
1221053b325b3969
13977395b515a90
143d1a714c3ca2d
151ac1bc31aa6e6
hexcb075938f0a1

223232422113441 has 80 divisors (see below), whose sum is σ = 364501124064000. Its totient is φ = 135316445882112.

The previous prime is 223232422113431. The next prime is 223232422113469. The reversal of 223232422113441 is 144311224232322.

223232422113441 is a `hidden beast` number, since 2 + 2 + 32 + 32 + 42 + 2 + 113 + 441 = 666.

It is not a de Polignac number, because 223232422113441 - 218 = 223232421851297 is a prime.

It is a super-3 number, since 3×2232324221134413 (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223232422113396 and 223232422113405.

It is not an unprimeable number, because it can be changed into a prime (223232422113401) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1580906760 + ... + 1581047958.

It is an arithmetic number, because the mean of its divisors is an integer number (4556264050800).

Almost surely, 2223232422113441 is an apocalyptic number.

It is an amenable number.

223232422113441 is a deficient number, since it is larger than the sum of its proper divisors (141268701950559).

223232422113441 is a wasteful number, since it uses less digits than its factorization.

223232422113441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163700 (or 163691 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 223232422113441 its reverse (144311224232322), we get a palindrome (367543646345763).

The spelling of 223232422113441 in words is "two hundred twenty-three trillion, two hundred thirty-two billion, four hundred twenty-two million, one hundred thirteen thousand, four hundred forty-one".

Divisors: 1 3 9 13 27 39 67 81 117 201 351 603 871 1053 1809 2613 5427 7839 22409 23517 67227 70551 141199 201681 291317 423597 605043 873951 1270791 1501403 1815129 1835587 2621853 3812373 4504209 5506761 7865559 9460333 11437119 13512627 16520283 19518239 23596677 28380999 40537881 49560849 58554717 85142997 121613643 122984329 148682547 175664151 255428991 368952987 526992453 766286973 1106858961 1580977359 3164128391 3320576883 9492385173 9961730649 28477155519 41133669083 85431466557 123401007249 211996602197 256294399671 370203021747 635989806591 1110609065241 1907969419773 2755955828561 3331827195723 5723908259319 8267867485683 17171724777957 24803602457049 74410807371147 223232422113441