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10023222112 = 254114395309
BaseRepresentation
bin10010101010110111…
…00011101101100000
3221212112110102212121
421111123203231200
5131011421101422
64334332234024
7503245660621
oct112533435540
927775412777
1010023222112
114283936142
121b3890b914
13c3975b377
146b1289a48
153d9e488c7
hex2556e3b60

10023222112 has 48 divisors (see below), whose sum is σ = 20232374400. Its totient is φ = 4885058560.

The previous prime is 10023222109. The next prime is 10023222119. The reversal of 10023222112 is 21122232001.

It is a happy number.

10023222112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023222119) 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 7 ways as a sum of consecutive naturals, for example, 1885314 + ... + 1890622.

It is an arithmetic number, because the mean of its divisors is an integer number (421507800).

Almost surely, 210023222112 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 10023222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10116187200).

10023222112 is an abundant number, since it is smaller than the sum of its proper divisors (10209152288).

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

10023222112 is a wasteful number, since it uses less digits than its factorization.

10023222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6799 (or 6791 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10023222112 its reverse (21122232001), we get a palindrome (31145454113).

The spelling of 10023222112 in words is "ten billion, twenty-three million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 1439 2878 5309 5756 10618 11512 21236 23024 42472 46048 58999 84944 117998 169888 217669 235996 435338 471992 870676 943984 1741352 1887968 3482704 6965408 7639651 15279302 30558604 61117208 122234416 244468832 313225691 626451382 1252902764 2505805528 5011611056 10023222112