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223304112 = 243217194801
BaseRepresentation
bin11010100111101…
…01100110110000
3120120012000122200
431103311212300
5424131212422
634054103200
75351024253
oct1523654660
9516160580
10223304112
1110505a759
126294ab00
1337356615
142192b09a
151490e2ac
hexd4f59b0

223304112 has 120 divisors (see below), whose sum is σ = 696674160. Its totient is φ = 66355200.

The previous prime is 223304077. The next prime is 223304143. The reversal of 223304112 is 211403322.

223304112 is a `hidden beast` number, since 223 + 30 + 411 + 2 = 666.

It is a super-2 number, since 2×2233041122 = 99729452872217088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44112 + ... + 48912.

It is an arithmetic number, because the mean of its divisors is an integer number (5805618).

Almost surely, 2223304112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 223304112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348337080).

223304112 is an abundant number, since it is smaller than the sum of its proper divisors (473370048).

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

223304112 is a wasteful number, since it uses less digits than its factorization.

223304112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4851 (or 4842 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 223304112 is about 14943.3634768080. The cubic root of 223304112 is about 606.6882354902.

Adding to 223304112 its reverse (211403322), we get a palindrome (434707434).

The spelling of 223304112 in words is "two hundred twenty-three million, three hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 34 36 38 48 51 57 68 72 76 102 114 136 144 152 153 171 204 228 272 304 306 323 342 408 456 612 646 684 816 912 969 1224 1292 1368 1938 2448 2584 2736 2907 3876 4801 5168 5814 7752 9602 11628 14403 15504 19204 23256 28806 38408 43209 46512 57612 76816 81617 86418 91219 115224 163234 172836 182438 230448 244851 273657 326468 345672 364876 489702 547314 652936 691344 729752 734553 820971 979404 1094628 1305872 1459504 1469106 1550723 1641942 1958808 2189256 2938212 3101446 3283884 3917616 4378512 4652169 5876424 6202892 6567768 9304338 11752848 12405784 13135536 13956507 18608676 24811568 27913014 37217352 55826028 74434704 111652056 223304112