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11223868560 = 2435140933191
BaseRepresentation
bin10100111001111111…
…01010010010010000
31001222012200121011120
422130333222102100
5140441302243220
65053422242240
7545065210602
oct123477522220
931865617146
1011223868560
11483a643633
122212a26380
13109b41ab58
14786907172
1545a560a40
hex29cfea490

11223868560 has 80 divisors (see below), whose sum is σ = 34819735680. Its totient is φ = 2990817280.

The previous prime is 11223868559. The next prime is 11223868567. The reversal of 11223868560 is 6586832211.

11223868560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11223868567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 321565 + ... + 354755.

It is an arithmetic number, because the mean of its divisors is an integer number (435246696).

Almost surely, 211223868560 is an apocalyptic number.

11223868560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11223868560 is an abundant number, since it is smaller than the sum of its proper divisors (23595867120).

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

11223868560 is a wasteful number, since it uses less digits than its factorization.

11223868560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34616 (or 34610 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 11223868560 in words is "eleven billion, two hundred twenty-three million, eight hundred sixty-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1409 2818 4227 5636 7045 8454 11272 14090 16908 21135 22544 28180 33191 33816 42270 56360 66382 67632 84540 99573 112720 132764 165955 169080 199146 265528 331910 338160 398292 497865 531056 663820 796584 995730 1327640 1593168 1991460 2655280 3982920 7965840 46766119 93532238 140298357 187064476 233830595 280596714 374128952 467661190 561193428 701491785 748257904 935322380 1122386856 1402983570 1870644760 2244773712 2805967140 3741289520 5611934280 11223868560