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22215505242 = 23721719233941
BaseRepresentation
bin10100101100001001…
…011011010101011010
32010100020101121002110
4110230021123111122
5330444132131432
614112231213150
71414343451600
oct245411332532
963306347073
1022215505242
119470089997
12437bb171b6
1321306a7898
14110a63b870
158a04ebdcc
hex52c25b55a

22215505242 has 96 divisors (see below), whose sum is σ = 57605878080. Its totient is φ = 5659476480.

The previous prime is 22215505199. The next prime is 22215505289. The reversal of 22215505242 is 24250551222.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 22009 + ... + 211932.

It is an arithmetic number, because the mean of its divisors is an integer number (600061230).

Almost surely, 222215505242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22215505242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28802939040).

22215505242 is an abundant number, since it is smaller than the sum of its proper divisors (35390372838).

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

22215505242 is a wasteful number, since it uses less digits than its factorization.

22215505242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233996 (or 233989 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 30.

The spelling of 22215505242 in words is "twenty-two billion, two hundred fifteen million, five hundred five thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 17 19 21 34 38 42 49 51 57 98 102 114 119 133 147 238 266 294 323 357 399 646 714 798 833 931 969 1666 1862 1938 2261 2499 2793 4522 4998 5586 6783 13566 15827 31654 47481 94962 233941 467882 701823 1403646 1637587 3275174 3976997 4444879 4912761 7953994 8889758 9825522 11463109 11930991 13334637 22926218 23861982 26669274 27838979 31114153 34389327 55677958 62228306 68778654 75562943 83516937 93342459 151125886 167033874 186684918 194872853 217799071 226688829 389745706 435598142 453377658 528940601 584618559 653397213 1057881202 1169237118 1306794426 1586821803 3173643606 3702584207 7405168414 11107752621 22215505242