Search a number
-
+
22038765568 = 2138332413
BaseRepresentation
bin10100100001100111…
…001110000000000000
32002212220211021211121
4110201213032000000
5330113410444233
614042515122024
71410066262561
oct244147160000
962786737747
1022038765568
11938a343846
1243308a3314
132102ba59b1
1410d0d92168
1588ec3992d
hex5219ce000

22038765568 has 56 divisors (see below), whose sum is σ = 44607239208. Its totient is φ = 10886283264.

The previous prime is 22038765509. The next prime is 22038765569. The reversal of 22038765568 is 86556783022.

It is a super-2 number, since 2×220387655682 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22038765569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 663730 + ... + 696142.

It is an arithmetic number, because the mean of its divisors is an integer number (796557843).

Almost surely, 222038765568 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 22038765568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22303619604).

22038765568 is an abundant number, since it is smaller than the sum of its proper divisors (22568473640).

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

22038765568 is an frugal number, since it uses more digits than its factorization.

22038765568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32522 (or 32498 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 22038765568 in words is "twenty-two billion, thirty-eight million, seven hundred sixty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 83 128 166 256 332 512 664 1024 1328 2048 2656 4096 5312 8192 10624 21248 32413 42496 64826 84992 129652 169984 259304 339968 518608 679936 1037216 2074432 2690279 4148864 5380558 8297728 10761116 16595456 21522232 33190912 43044464 66381824 86088928 132763648 172177856 265527296 344355712 688711424 1377422848 2754845696 5509691392 11019382784 22038765568