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223110012320 = 25513107264429
BaseRepresentation
bin1100111111001001100…
…1001001110110100000
3210022212220211221121122
43033302121021312200
512123412130343240
6250254553511412
722055605546136
oct3176231116640
9708786757548
10223110012320
1186690870538
12372a7112568
1318068119190
14ab27449756
155c0c2654b5
hex33f2649da0

223110012320 has 48 divisors (see below), whose sum is σ = 567643363560. Its totient is φ = 82379080704.

The previous prime is 223110012311. The next prime is 223110012403. The reversal of 223110012320 is 23210011322.

223110012320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 146759480464 + 76350531856 = 383092^2 + 276316^2 .

It is a super-3 number, since 3×2231100123203 (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 53630135 + ... + 53634294.

Almost surely, 2223110012320 is an apocalyptic number.

223110012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

223110012320 is an abundant number, since it is smaller than the sum of its proper divisors (344533351240).

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

223110012320 is a wasteful number, since it uses less digits than its factorization.

223110012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107264457 (or 107264449 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 223110012320 its reverse (23210011322), we get a palindrome (246320023642).

The spelling of 223110012320 in words is "two hundred twenty-three billion, one hundred ten million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 107264429 214528858 429057716 536322145 858115432 1072644290 1394437577 1716230864 2145288580 2788875154 3432461728 4290577160 5577750308 6972187885 8581154320 11155500616 13944375770 17162308640 22311001232 27888751540 44622002464 55777503080 111555006160 223110012320