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223320422440341 = 324310933166124197
BaseRepresentation
bin110010110001101111010110…
…011100110101110110010101
31002021201020001012201022212200
4302301233112130311312111
5213232340211121042331
62110543552532035113
765016240152366442
oct6261572634656625
91067636035638780
10223320422440341
116517a728575026
1221068bb1762a99
13977c043c76725
143d20aa23289c9
151ac4123bdb5e6
hexcb1bd6735d95

223320422440341 has 96 divisors (see below), whose sum is σ = 334629526957440. Its totient is φ = 143425293580800.

The previous prime is 223320422440327. The next prime is 223320422440361. The reversal of 223320422440341 is 143044224023322.

223320422440341 is a `hidden beast` number, since 2 + 2 + 3 + 3 + 20 + 4 + 224 + 403 + 4 + 1 = 666.

It is not a de Polignac number, because 223320422440341 - 26 = 223320422440277 is a prime.

It is a super-2 number, since 2×2233204224403412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223320422440296 and 223320422440305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223320422440301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9229248655 + ... + 9229272851.

It is an arithmetic number, because the mean of its divisors is an integer number (3485724239140).

Almost surely, 2223320422440341 is an apocalyptic number.

It is an amenable number.

223320422440341 is a deficient number, since it is larger than the sum of its proper divisors (111309104517099).

223320422440341 is a wasteful number, since it uses less digits than its factorization.

223320422440341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25347 (or 25344 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 223320422440341 its reverse (143044224023322), we get a palindrome (366364646463663).

The spelling of 223320422440341 in words is "two hundred twenty-three trillion, three hundred twenty billion, four hundred twenty-two million, four hundred forty thousand, three hundred forty-one".

Divisors: 1 3 9 43 109 129 327 331 387 661 981 993 1983 2979 4687 5949 14061 14233 24197 28423 36079 42183 42699 72049 72591 85269 108237 128097 216147 217773 218791 255807 324711 648441 656373 1040471 1551397 1969119 2637473 3098107 3121413 4654191 7912419 8009207 9294321 9364239 9408013 13962573 15994217 23737257 23848219 24027621 27882963 28224039 47982651 71544657 72082863 84672117 113411339 143947953 214633971 340234017 344395901 687751331 873003563 1020702051 1025473417 1033187703 1743369653 2063253993 2619010689 3076420251 3099563109 5230108959 5294085827 6189761979 7857032067 9229260753 15690326877 15882257481 37539153209 47646772443 74964895079 112617459627 224894685237 227645690561 337852378881 577055355143 674684055711 682937071683 1731166065429 2048811215049 5193498196287 24813380271149 74440140813447 223320422440341