Search a number
-
+
22016240503140 = 22351370140265263
BaseRepresentation
bin1010000000110000011100…
…01100011100100101100100
32212221201202122200101201010
411000120032030130211210
510341203230032100030
6114454042105302220
74431422651356422
oct500301614344544
985851678611633
1022016240503140
117019042890244
122576a8a494970
13c3917939a180
1456183d9a6112
15282a5da146b0
hex14060e31c964

22016240503140 has 96 divisors (see below), whose sum is σ = 66482138451456. Its totient is φ = 5411651212800.

The previous prime is 22016240503051. The next prime is 22016240503151. The reversal of 22016240503140 is 4130504261022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22016240503098 and 22016240503107.

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 31 ways as a sum of consecutive naturals, for example, 19585852 + ... + 20679411.

It is an arithmetic number, because the mean of its divisors is an integer number (692522275536).

Almost surely, 222016240503140 is an apocalyptic number.

22016240503140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22016240503140 is an abundant number, since it is smaller than the sum of its proper divisors (44465897948316).

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

22016240503140 is a wasteful number, since it uses less digits than its factorization.

22016240503140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40265989 (or 40265987 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 22016240503140 its reverse (4130504261022), we get a palindrome (26146744764162).

The spelling of 22016240503140 in words is "twenty-two trillion, sixteen billion, two hundred forty million, five hundred three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 701 780 1402 2103 2804 3505 4206 7010 8412 9113 10515 14020 18226 21030 27339 36452 42060 45565 54678 91130 109356 136695 182260 273390 546780 40265263 80530526 120795789 161061052 201326315 241591578 402652630 483183156 523448419 603978945 805305260 1046896838 1207957890 1570345257 2093793676 2415915780 2617242095 3140690514 5234484190 6281381028 7851726285 10468968380 15703452570 28225949363 31406905140 56451898726 84677848089 112903797452 141129746815 169355696178 282259493630 338711392356 366937341719 423389240445 564518987260 733874683438 846778480890 1100812025157 1467749366876 1693556961780 1834686708595 2201624050314 3669373417190 4403248100628 5504060125785 7338746834380 11008120251570 22016240503140