Search a number
-
+
22020506436114 = 2323159668869037
BaseRepresentation
bin1010000000111000011000…
…11101101100001000010010
32212222010202221210020121200
411000130030131230020102
510341240444121423424
6114500025255132030
74431633451244664
oct500341435541022
985863687706550
1022020506436114
11701a93189a88a
12257787b074016
13c396a911c474
14561b26382534
15282c0d2b98c9
hex14070c76c212

22020506436114 has 48 divisors (see below), whose sum is σ = 50084913565440. Its totient is φ = 6982992735840.

The previous prime is 22020506436109. The next prime is 22020506436151. The reversal of 22020506436114 is 41163460502022.

22020506436114 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 0 + 5 + 0 + 643 + 6 + 1 + 1 + 4 = 666.

It is a super-3 number, since 3×220205064361143 (a number of 41 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 334401597 + ... + 334467440.

It is an arithmetic number, because the mean of its divisors is an integer number (1043435699280).

Almost surely, 222020506436114 is an apocalyptic number.

22020506436114 is an abundant number, since it is smaller than the sum of its proper divisors (28064407129326).

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

22020506436114 is a wasteful number, since it uses less digits than its factorization.

22020506436114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668869135 (or 668869132 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 22020506436114 its reverse (41163460502022), we get a palindrome (63183966938136).

The spelling of 22020506436114 in words is "twenty-two trillion, twenty billion, five hundred six million, four hundred thirty-six thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 31 59 62 93 118 177 186 279 354 531 558 1062 1829 3658 5487 10974 16461 32922 668869037 1337738074 2006607111 4013214222 6019821333 12039642666 20734940147 39463273183 41469880294 62204820441 78926546366 118389819549 124409640882 186614461323 236779639098 355169458647 373228922646 710338917294 1223361468673 2446722937346 3670084406019 7340168812038 11010253218057 22020506436114