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22102220112 = 2437613107309
BaseRepresentation
bin10100100101011001…
…010001110101010000
32010001100020010002220
4110211121101311100
5330231132020422
614053103141040
71411466525340
oct244531216520
963040203086
1022102220112
119412144115
124349ba4780
13211309216b
1410d958cd20
158955c0e5c
hex525651d50

22102220112 has 80 divisors (see below), whose sum is σ = 65361233280. Its totient is φ = 6304559616.

The previous prime is 22102220059. The next prime is 22102220191. The reversal of 22102220112 is 21102220122.

It is a super-3 number, since 3×221022201123 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22102220091 and 22102220100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152314 + ... + 259622.

It is an arithmetic number, because the mean of its divisors is an integer number (817015416).

Almost surely, 222102220112 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 22102220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32680616640).

22102220112 is an abundant number, since it is smaller than the sum of its proper divisors (43259013168).

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

22102220112 is a wasteful number, since it uses less digits than its factorization.

22102220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107940 (or 107934 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 22102220112 its reverse (21102220122), we get a palindrome (43204440234).

The spelling of 22102220112 in words is "twenty-two billion, one hundred two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 613 1226 1839 2452 3678 4291 4904 7356 8582 9808 12873 14712 17164 25746 29424 34328 51492 68656 102984 107309 205968 214618 321927 429236 643854 751163 858472 1287708 1502326 1716944 2253489 2575416 3004652 4506978 5150832 6009304 9013956 12018608 18027912 36055824 65780417 131560834 197341251 263121668 394682502 460462919 526243336 789365004 920925838 1052486672 1381388757 1578730008 1841851676 2762777514 3157460016 3683703352 5525555028 7367406704 11051110056 22102220112