Search a number
-
+
22000110013232 = 24134353220321067
BaseRepresentation
bin1010000000010010011001…
…01111100000101100110000
32212220012010111022121101222
411000021030233200230300
510340422211130410412
6114442413325044212
74430312143435151
oct500111457405460
985805114277358
1022000110013232
11701221561944a
1225739283b6668
13c377a85864a0
14560b4d587928
15282417845072
hex14024cbe0b30

22000110013232 has 160 divisors (see below), whose sum is σ = 47881865864448. Its totient is φ = 9725753576448.

The previous prime is 22000110013207. The next prime is 22000110013237. The reversal of 22000110013232 is 23231001100022.

It is a super-2 number, since 2×220001100132322 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22000110013232.

It is not an unprimeable number, because it can be changed into a prime (22000110013237) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1044281963 + ... + 1044303029.

Almost surely, 222000110013232 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 22000110013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23940932932224).

22000110013232 is an abundant number, since it is smaller than the sum of its proper divisors (25881755851216).

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

22000110013232 is a wasteful number, since it uses less digits than its factorization.

22000110013232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23387 (or 23381 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 22000110013232 its reverse (23231001100022), we get a palindrome (45231111113254).

The spelling of 22000110013232 in words is "twenty-two trillion, one hundred ten million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 43 52 53 86 104 106 172 208 212 344 424 559 688 689 848 1118 1378 2203 2236 2279 2756 4406 4472 4558 5512 8812 8944 9116 11024 17624 18232 21067 28639 29627 35248 36464 42134 57278 59254 84268 94729 114556 116759 118508 168536 189458 229112 233518 237016 273871 337072 378916 458224 467036 474032 547742 757832 905881 934072 1095484 1116551 1231477 1515664 1517867 1811762 1868144 2190968 2233102 2462954 3035734 3623524 4381936 4466204 4925908 5020637 6071468 7247048 8932408 9851816 10041274 11776453 12142936 14494096 14515163 17864816 19703632 20082548 23552906 24285872 29030326 40165096 46410601 47105812 48011693 58060652 65268281 80330192 92821202 94211624 96023386 116121304 130536562 185642404 188423248 192046772 232242608 261073124 371284808 384093544 522146248 603337813 624152009 742569616 768187088 1044292496 1206675626 1248304018 1995655843 2413351252 2459761853 2496608036 3991311686 4826702504 4919523706 4993216072 7982623372 9653405008 9839047412 9986432144 15965246744 19678094824 25943525959 31930493488 31976904089 39356189648 51887051918 63953808178 103774103836 105769759679 127907616356 207548207672 211539519358 255815232712 415096415344 423079038716 511630465424 846158077432 1375006875827 1692316154864 2750013751654 5500027503308 11000055006616 22000110013232