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22023411344 = 2411231675477
BaseRepresentation
bin10100100000101100…
…101001011010010000
32002211211221012210122
4110200230221122100
5330100443130334
614041210045412
71406521623224
oct244054513220
962754835718
1022023411344
119381706a00
124327719868
1320cc95b05c
1410ccd16784
1588d70532e
hex520b29690

22023411344 has 120 divisors (see below), whose sum is σ = 49146687744. Its totient is φ = 9541382400.

The previous prime is 22023411323. The next prime is 22023411349. The reversal of 22023411344 is 44311432022.

It is not an unprimeable number, because it can be changed into a prime (22023411349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4018334 + ... + 4023810.

Almost surely, 222023411344 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 22023411344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24573343872).

22023411344 is an abundant number, since it is smaller than the sum of its proper divisors (27123276400).

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

22023411344 is a wasteful number, since it uses less digits than its factorization.

22023411344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5605 (or 5588 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 22023411344 its reverse (44311432022), we get a palindrome (66334843366).

The spelling of 22023411344 in words is "twenty-two billion, twenty-three million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 67 88 121 124 134 176 242 248 268 341 484 496 536 682 737 968 1072 1364 1474 1936 2077 2728 2948 3751 4154 5456 5477 5896 7502 8107 8308 10954 11792 15004 16214 16616 21908 22847 30008 32428 33232 43816 45694 60016 60247 64856 87632 91388 120494 129712 169787 182776 240988 251317 339574 365552 366959 481976 502634 662717 679148 733918 963952 1005268 1325434 1358296 1467836 1867657 2010536 2650868 2716592 2935672 3735314 4021072 4036549 5301736 5871344 7470628 8073098 10603472 11375729 14941256 16146196 20544227 22751458 29882512 32292392 41088454 44402039 45502916 64584784 82176908 88804078 91005832 125133019 164353816 177608156 182011664 250266038 328707632 355216312 500532076 710432624 1001064152 1376463209 2002128304 2752926418 5505852836 11011705672 22023411344