Search a number
-
+
22005114324323 = 132735876614597
BaseRepresentation
bin1010000000011011101110…
…00001011100010101100011
32212220200001020210221200012
411000031313001130111203
510341012433231334243
6114445002052515135
74430550150406334
oct500156701342543
985820036727605
1022005114324323
117014353400439
1225748a431baab
13c380c5294400
145610a604c28b
1528260bd4dd18
hex14037705c563

22005114324323 has 48 divisors (see below), whose sum is σ = 24237459249696. Its totient is φ = 19965429918720.

The previous prime is 22005114324317. The next prime is 22005114324331. The reversal of 22005114324323 is 32342341150022.

It is not a de Polignac number, because 22005114324323 - 222 = 22005110130019 is a prime.

It is a super-3 number, since 3×220051143243233 (a number of 41 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22005114324323.

It is not an unprimeable number, because it can be changed into a prime (22005114323323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4786840061 + ... + 4786844657.

It is an arithmetic number, because the mean of its divisors is an integer number (504947067702).

Almost surely, 222005114324323 is an apocalyptic number.

22005114324323 is a deficient number, since it is larger than the sum of its proper divisors (2232344925373).

22005114324323 is a wasteful number, since it uses less digits than its factorization.

22005114324323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5944 (or 5931 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 22005114324323 its reverse (32342341150022), we get a palindrome (54347455474345).

The spelling of 22005114324323 in words is "twenty-two trillion, five billion, one hundred fourteen million, three hundred twenty-four thousand, three hundred twenty-three".

Divisors: 1 13 73 169 587 661 949 4597 7631 8593 12337 42851 48253 59761 99203 111709 335581 388007 557063 627289 776893 2698439 3038617 4362553 5044091 7241819 8154757 28324511 35079707 39502021 56713189 65573183 196986047 221819041 368218643 456036191 513526273 1783668179 2560818611 2883647533 4786842359 23187686327 33290641943 37487417929 130207777067 301439922251 1692701101871 22005114324323