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223293568 = 2723731039
BaseRepresentation
bin11010100111100…
…11000010000000
3120120011111012011
431103303002000
5424130343233
634053542304
75350651441
oct1523630200
9516144164
10223293568
11105052843
1262944994
1337351894
14219272c8
151490b0cd
hexd4f3080

223293568 has 64 divisors (see below), whose sum is σ = 470995200. Its totient is φ = 105228288.

The previous prime is 223293563. The next prime is 223293571. The reversal of 223293568 is 865392322.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 223293568.

It is not an unprimeable number, because it can be changed into a prime (223293563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214393 + ... + 215431.

It is an arithmetic number, because the mean of its divisors is an integer number (7359300).

Almost surely, 2223293568 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 223293568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235497600).

223293568 is an abundant number, since it is smaller than the sum of its proper divisors (247701632).

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

223293568 is a wasteful number, since it uses less digits than its factorization.

223293568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1137 counting only the distinct ones).

The product of its digits is 155520, while the sum is 40.

The square root of 223293568 is about 14943.0106738903. The cubic root of 223293568 is about 606.6786864476.

The spelling of 223293568 in words is "two hundred twenty-three million, two hundred ninety-three thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 73 92 128 146 184 292 368 584 736 1039 1168 1472 1679 2078 2336 2944 3358 4156 4672 6716 8312 9344 13432 16624 23897 26864 33248 47794 53728 66496 75847 95588 107456 132992 151694 191176 214912 303388 382352 606776 764704 1213552 1529408 1744481 2427104 3058816 3488962 4854208 6977924 9708416 13955848 27911696 55823392 111646784 223293568