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83223422432238 = 2311411032857104513
BaseRepresentation
bin10010111011000011110110…
…100001111111001111101110
3101220200002012101211211020210
4102323003312201333033232
541402013032120312423
6453000151254123250
723346456663532044
oct2273036641771756
9356602171754223
1083223422432238
1124576945373030
12940130b950526
133758c2043723a
14167a06c5c0394
15994c73a56b93
hex4bb0f687f3ee

83223422432238 has 128 divisors (see below), whose sum is σ = 187880546939904. Its totient is φ = 24356479795200.

The previous prime is 83223422432221. The next prime is 83223422432261.

83223422432238 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×832234224322382 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 796245070 + ... + 796349582.

It is an arithmetic number, because the mean of its divisors is an integer number (1467816772968).

Almost surely, 283223422432238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83223422432238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93940273469952).

83223422432238 is an abundant number, since it is smaller than the sum of its proper divisors (104657124507666).

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

83223422432238 is a wasteful number, since it uses less digits than its factorization.

83223422432238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107530.

The product of its digits is 5308416, while the sum is 48.

The spelling of 83223422432238 in words is "eighty-three trillion, two hundred twenty-three billion, four hundred twenty-two million, four hundred thirty-two thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 11 22 33 41 66 82 103 123 206 246 309 451 618 902 1133 1353 2266 2706 2857 3399 4223 5714 6798 8446 8571 12669 17142 25338 31427 46453 62854 92906 94281 104513 117137 139359 188562 209026 234274 278718 294271 313539 351411 588542 627078 702822 882813 1149643 1288507 1765626 2299286 2577014 3236981 3448929 3865521 4285033 6473962 6897858 7731042 8570066 9710943 10764839 12065111 12855099 19421886 21529678 24130222 25710198 32294517 36195333 47135363 64589034 72390666 94270726 118413229 132716221 141406089 236826458 265432442 282812178 298593641 355239687 398148663 441358399 597187282 710479374 796297326 882716798 895780923 1324075197 1791561846 2648150394 3284530051 4854942389 6569060102 9709884778 9853590153 12242339281 14564827167 19707180306 24484678562 29129654334 30755145023 36727017843 61510290046 73454035686 92265435069 134665732091 184530870138 269331464182 338306595253 403997196273 676613190506 807994392546 1014919785759 1260960945943 2029839571518 2521921891886 3782882837829 7565765675658 13870570405373 27741140810746 41611711216119 83223422432238