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222332423323401 = 3317131139130720353
BaseRepresentation
bin110010100011010111001101…
…000111010011111100001001
31002011012202211212001221002000
4302203113031013103330021
5213120143300332322101
62104510034422101213
764554662466432606
oct6243271507237411
91064182755057060
10222332423323401
1164929718854206
1220b2961a87a809
139709b1c091631
143cc8d37a8d6ad
151aa859ad1c486
hexca35cd1d3f09

222332423323401 has 128 divisors (see below), whose sum is σ = 354235414579200. Its totient is φ = 137329929584640.

The previous prime is 222332423323399. The next prime is 222332423323453. The reversal of 222332423323401 is 104323324233222.

222332423323401 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 3 + 242 + 3 + 3 + 2 + 3 + 401 = 666.

It is not a de Polignac number, because 222332423323401 - 21 = 222332423323399 is a prime.

It is a super-3 number, since 3×2223324233234013 (a number of 44 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (222332423323001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10923805641 + ... + 10923825993.

It is an arithmetic number, because the mean of its divisors is an integer number (2767464176400).

Almost surely, 2222332423323401 is an apocalyptic number.

It is an amenable number.

222332423323401 is a deficient number, since it is larger than the sum of its proper divisors (131902991255799).

222332423323401 is a wasteful number, since it uses less digits than its factorization.

222332423323401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21956 (or 21950 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 222332423323401 its reverse (104323324233222), we get a palindrome (326655747556623).

The spelling of 222332423323401 in words is "two hundred twenty-two trillion, three hundred thirty-two billion, four hundred twenty-three million, three hundred twenty-three thousand, four hundred one".

Divisors: 1 3 9 17 27 51 131 139 153 393 417 459 1179 1251 1307 2227 2363 3537 3753 3921 6681 7089 11763 18209 20043 20353 21267 22219 35289 54627 60129 61059 63801 66657 163881 171217 181673 183177 199971 309553 346001 491643 513651 545019 549531 599913 928659 1038003 1540953 1635057 2666243 2785977 2829067 2910689 3088441 3114009 4622859 4905171 7998729 8357931 8487201 8732067 9265323 9342027 23799163 23996187 25461603 26196201 26601371 27795969 45326131 48094139 71397489 71988561 76384809 78588603 79804113 83387907 135978393 144282417 214192467 239412339 370607777 404585771 407935179 432847251 452223307 642577401 718237017 1111823331 1213757313 1223805537 1298541753 1356669921 3335469993 3484779601 3641271939 3697590569 4070009763 6300332209 10006409979 10454338803 10923815817 11092771707 12210029289 18900996627 31363016409 33278315121 56702989881 59241253217 62859039673 94089049227 99834945363 170108969643 177723759651 188577119019 484384364539 533171278953 565731357057 1453153093617 1599513836859 1697194071171 4359459280851 8234534197163 13078377842553 24703602591489 74110807774467 222332423323401