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223213132233 = 327131731695059
BaseRepresentation
bin1100111111100010001…
…0100001100111001001
3210100011002212222112200
43033320202201213021
512124120030212413
6250313120030413
722061300214240
oct3177042414711
9710132788480
10223213132233
1186733aa3003
1237315762409
13180835b2a90
14ab3700d957
155c16334573
hex33f88a19c9

223213132233 has 96 divisors (see below), whose sum is σ = 420381561600. Its totient is φ = 110756118528.

The previous prime is 223213132183. The next prime is 223213132271. The reversal of 223213132233 is 332231312322.

223213132233 is a `hidden beast` number, since 2 + 2 + 321 + 313 + 2 + 23 + 3 = 666.

223213132233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 223213132233 - 210 = 223213131209 is a prime.

It is a super-3 number, since 3×2232131322333 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223213132197 and 223213132206.

It is not an unprimeable number, because it can be changed into a prime (223213132133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44119458 + ... + 44124516.

It is an arithmetic number, because the mean of its divisors is an integer number (4378974600).

Almost surely, 2223213132233 is an apocalyptic number.

It is an amenable number.

223213132233 is a deficient number, since it is larger than the sum of its proper divisors (197168429367).

223213132233 is a wasteful number, since it uses less digits than its factorization.

223213132233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8271 (or 8268 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

Adding to 223213132233 its reverse (332231312322), we get a palindrome (555444444555).

The spelling of 223213132233 in words is "two hundred twenty-three billion, two hundred thirteen million, one hundred thirty-two thousand, two hundred thirty-three".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 221 273 357 663 819 1071 1547 1989 3169 4641 5059 9507 13923 15177 22183 28521 35413 41197 45531 53873 65767 66549 86003 106239 123591 161619 197301 199647 258009 288379 318717 370773 377111 460369 484857 591903 602021 700349 774027 865137 1118039 1131333 1381107 1806063 2101047 2595411 3354117 3393999 4143321 4902443 5418189 6303141 7826273 10062351 14707329 16031971 23478819 44121987 48095913 70436457 112223797 144287739 208415623 272543507 336671391 625246869 817630521 1010014173 1458909361 1875740607 1907804549 2452891563 3543065591 4376728083 5723413647 10629196773 13130184249 17170240941 24801459137 31887590319 74404377411 223213132233