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22221110120 = 23511671794211
BaseRepresentation
bin10100101100011110…
…110011101101101000
32010100121221100112112
4110230132303231220
5331002101010440
614112551301452
71414442214416
oct245436635550
963317840475
1022221110120
119473267a20
12438197a888
1321318baa91
14110b29a2b6
158a0c57965
hex52c7b3b68

22221110120 has 128 divisors (see below), whose sum is σ = 55679270400. Its totient is φ = 7913452800.

The previous prime is 22221110111. The next prime is 22221110123. The reversal of 22221110120 is 2101112222.

It is a junction number, because it is equal to n+sod(n) for n = 22221110095 and 22221110104.

It is not an unprimeable number, because it can be changed into a prime (22221110123) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5274815 + ... + 5279025.

It is an arithmetic number, because the mean of its divisors is an integer number (434994300).

Almost surely, 222221110120 is an apocalyptic number.

22221110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22221110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27839635200).

22221110120 is an abundant number, since it is smaller than the sum of its proper divisors (33458160280).

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

22221110120 is a wasteful number, since it uses less digits than its factorization.

22221110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4479 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22221110120 its reverse (2101112222), we get a palindrome (24322222342).

The spelling of 22221110120 in words is "twenty-two billion, two hundred twenty-one million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 179 220 268 335 358 440 536 670 716 737 895 1340 1432 1474 1790 1969 2680 2948 3580 3685 3938 4211 5896 7160 7370 7876 8422 9845 11993 14740 15752 16844 19690 21055 23986 29480 33688 39380 42110 46321 47972 59965 78760 84220 92642 95944 119930 131923 168440 185284 231605 239860 263846 282137 370568 463210 479720 527692 564274 659615 753769 926420 1055384 1128548 1319230 1410685 1507538 1852840 2257096 2638460 2821370 3015076 3103507 3768845 5276920 5642740 6030152 6207014 7537690 8291459 11285480 12414028 15075380 15517535 16582918 24828056 30150760 31035070 33165836 41457295 50502523 62070140 66331672 82914590 101005046 124140280 165829180 202010092 252512615 331658360 404020184 505025230 555527753 1010050460 1111055506 2020100920 2222111012 2777638765 4444222024 5555277530 11110555060 22221110120