Search a number
-
+
22310221024 = 2571322733751
BaseRepresentation
bin10100110001110010…
…101111010011100000
32010120211121122201101
4110301302233103200
5331142404033044
614125453244144
71416603515110
oct246162572340
963524548641
1022310221024
1195095a12a3
1243a7793654
1321471bb120
141119055040
158a89aacd4
hex531caf4e0

22310221024 has 96 divisors (see below), whose sum is σ = 54299137536. Its totient is φ = 8786880000.

The previous prime is 22310221013. The next prime is 22310221027. The reversal of 22310221024 is 42012201322.

It is a super-3 number, since 3×223102210243 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22310220992 and 22310221010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22310221027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 644149 + ... + 677899.

It is an arithmetic number, because the mean of its divisors is an integer number (565616016).

Almost surely, 222310221024 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 22310221024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27149568768).

22310221024 is an abundant number, since it is smaller than the sum of its proper divisors (31988916512).

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

22310221024 is a wasteful number, since it uses less digits than its factorization.

22310221024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34008 (or 34000 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 22310221024 its reverse (42012201322), we get a palindrome (64322422346).

The spelling of 22310221024 in words is "twenty-two billion, three hundred ten million, two hundred twenty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 227 364 416 454 728 908 1456 1589 1816 2912 2951 3178 3632 5902 6356 7264 11804 12712 20657 23608 25424 33751 41314 47216 50848 67502 82628 94432 135004 165256 236257 270008 330512 438763 472514 540016 661024 877526 945028 1080032 1755052 1890056 3071341 3510104 3780112 6142682 7020208 7560224 7661477 12285364 14040416 15322954 24570728 30645908 49141456 53630339 61291816 98282912 99599201 107260678 122583632 199198402 214521356 245167264 398396804 429042712 697194407 796793608 858085424 1394388814 1593587216 1716170848 2788777628 3187174432 5577555256 11155110512 22310221024