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22034024430 = 23511415330727
BaseRepresentation
bin10100100001010101…
…001000011111101110
32002212120220102012220
4110201111020133232
5330111202240210
614042225340210
71410011055165
oct244125103756
962776812186
1022034024430
1193876a5750
12432b197666
132101c059a2
1410d04ba3dc
1588e5eec70
hex5215487ee

22034024430 has 128 divisors (see below), whose sum is σ = 60213113856. Its totient is φ = 5112806400.

The previous prime is 22034024407. The next prime is 22034024447. The reversal of 22034024430 is 3442043022.

It is a self number, because there is not a number n which added to its sum of digits gives 22034024430.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 701727 + ... + 732453.

It is an arithmetic number, because the mean of its divisors is an integer number (470414952).

Almost surely, 222034024430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22034024430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30106556928).

22034024430 is an abundant number, since it is smaller than the sum of its proper divisors (38179089426).

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

22034024430 is a wasteful number, since it uses less digits than its factorization.

22034024430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30842.

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 22034024430 its reverse (3442043022), we get a palindrome (25476067452).

The spelling of 22034024430 in words is "twenty-two billion, thirty-four million, twenty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 41 53 55 66 82 106 110 123 159 165 205 246 265 318 330 410 451 530 583 615 795 902 1166 1230 1353 1590 1749 2173 2255 2706 2915 3498 4346 4510 5830 6519 6765 8745 10865 13038 13530 17490 21730 23903 30727 32595 47806 61454 65190 71709 92181 119515 143418 153635 184362 239030 307270 337997 358545 460905 675994 717090 921810 1013991 1259807 1628531 1689985 2027982 2519614 3257062 3379970 3779421 4885593 5069955 6299035 7558842 8142655 9771186 10139910 12598070 13857877 16285310 17913841 18897105 24427965 27715754 35827682 37794210 41573631 48855930 53741523 66769771 69289385 83147262 89569205 107483046 133539542 138578770 179138410 200309313 207868155 268707615 333848855 400618626 415736310 537415230 667697710 734467481 1001546565 1468934962 2003093130 2203402443 3672337405 4406804886 7344674810 11017012215 22034024430