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223112234133 = 33312632773659
BaseRepresentation
bin1100111111001010000…
…1101000010010010101
3210022220002000211101000
43033302201220102111
512123413212443013
6250255113253513
722055633461545
oct3176241502225
9708802024330
10223112234133
1186692048848
12372a7a04299
1318068716569
14ab27867325
155c0c553973
hex33f2868495

223112234133 has 64 divisors (see below), whose sum is σ = 343826841600. Its totient is φ = 142839339840.

The previous prime is 223112234129. The next prime is 223112234141. The reversal of 223112234133 is 331432211322.

223112234133 is a `hidden beast` number, since 2 + 2 + 311 + 2 + 2 + 341 + 3 + 3 = 666.

It is not a de Polignac number, because 223112234133 - 22 = 223112234129 is a prime.

It is a super-3 number, since 3×2231122341333 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 223112234097 and 223112234106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223112234533) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60974458 + ... + 60978116.

It is an arithmetic number, because the mean of its divisors is an integer number (5372294400).

Almost surely, 2223112234133 is an apocalyptic number.

It is an amenable number.

223112234133 is a deficient number, since it is larger than the sum of its proper divisors (120714607467).

223112234133 is a wasteful number, since it uses less digits than its factorization.

223112234133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4239 (or 4233 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 223112234133 its reverse (331432211322), we get a palindrome (554544445455).

The spelling of 223112234133 in words is "two hundred twenty-three billion, one hundred twelve million, two hundred thirty-four thousand, one hundred thirty-three".

Divisors: 1 3 9 27 31 93 263 277 279 789 831 837 2367 2493 3659 7101 7479 8153 8587 10977 24459 25761 32931 72851 73377 77283 98793 113429 218553 220131 231849 340287 655659 962317 1013543 1020861 1966977 2258381 2886951 3040629 3062583 6775143 8660853 9121887 20325429 25982559 27365661 29831827 31419833 60976287 89495481 94259499 266561809 268486443 282778497 799685427 805459329 848335491 2399056281 7197168843 8263416079 24790248237 74370744711 223112234133