Search a number
-
+
22022200212011 = 1743731816413557
BaseRepresentation
bin1010000000111011100010…
…11010111011101000101011
32212222022010222220222100022
411000131301122323220223
510341302431223241021
6114500505322431055
74432023436145066
oct500356132735053
985868128828308
1022022200212011
1170206209a177a
12257807236248b
13c398b8cc9a1c
14561c472c78dd
15282cabd3e1ab
hex1407716bba2b

22022200212011 has 64 divisors (see below), whose sum is σ = 24365159634816. Its totient is φ = 19820563660800.

The previous prime is 22022200211903. The next prime is 22022200212017. The reversal of 22022200212011 is 11021200222022.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 22022200212011 - 210 = 22022200210987 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22022200212017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6191226845 + ... + 6191230401.

It is an arithmetic number, because the mean of its divisors is an integer number (380705619294).

Almost surely, 222022200212011 is an apocalyptic number.

22022200212011 is a deficient number, since it is larger than the sum of its proper divisors (2342959422805).

22022200212011 is a wasteful number, since it uses less digits than its factorization.

22022200212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 22022200212011 its reverse (11021200222022), we get a palindrome (33043400434033).

The spelling of 22022200212011 in words is "twenty-two trillion, twenty-two billion, two hundred million, two hundred twelve thousand, eleven".

Divisors: 1 17 43 73 181 641 731 1241 3077 3139 3557 7783 10897 13213 27563 46793 53363 60469 116021 132311 152951 224621 259661 468571 568159 643817 795481 1972357 2012099 2280037 2600167 4414237 4988903 8469533 9658703 10944889 11165423 27684131 34205683 38760629 46998641 84811351 98041591 143982061 166442701 189812191 364189919 412686697 470630227 798976897 1666707047 2020941563 2829525917 6191228623 7015673849 7157036143 17745527971 30126128881 34356006571 121669614431 301673975507 512144190977 1295423541883 22022200212011