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223112133114 = 231347161937591
BaseRepresentation
bin1100111111001010000…
…1001111100111111010
3210022220001211200210120
43033302201033213322
512123413201224424
6250255111154110
722055632561203
oct3176241174772
9708801750716
10223112133114
1186691a89962
12372a7975936
13180686ac5a0
14ab2783c5aa
155c0c533a79
hex33f284f9fa

223112133114 has 64 divisors (see below), whose sum is σ = 491089858560. Its totient is φ = 67145964480.

The previous prime is 223112133113. The next prime is 223112133163. The reversal of 223112133114 is 411331211322.

It is a super-3 number, since 3×2231121331143 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (223112133113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5916459 + ... + 5954049.

It is an arithmetic number, because the mean of its divisors is an integer number (7673279040).

Almost surely, 2223112133114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223112133114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245544929280).

223112133114 is an abundant number, since it is smaller than the sum of its proper divisors (267977725446).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223112133114 is a wasteful number, since it uses less digits than its factorization.

223112133114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39275.

The product of its digits is 864, while the sum is 24.

Adding to 223112133114 its reverse (411331211322), we get a palindrome (634443344436).

The spelling of 223112133114 in words is "two hundred twenty-three billion, one hundred twelve million, one hundred thirty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 13 26 39 47 78 94 141 282 611 1222 1619 1833 3238 3666 4857 9714 21047 37591 42094 63141 75182 76093 112773 126282 152186 225546 228279 456558 488683 977366 989209 1466049 1766777 1978418 2932098 2967627 3533554 5300331 5935254 10600662 22968101 45936202 60859829 68904303 121719658 137808606 182579487 365158974 791177777 1582355554 2373533331 2860411963 4747066662 5720823926 8581235889 17162471778 37185355519 74370711038 111556066557 223112133114