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22056211040 = 2551091677573
BaseRepresentation
bin10100100010101001…
…110001001001100000
32002221010122121112012
4110202221301021200
5330132342223130
614044341052052
71410400462163
oct244251611140
962833577465
1022056211040
119399179896
1243366b7028
1321066a3466
1410d3413ada
15891533995
hex522a71260

22056211040 has 96 divisors (see below), whose sum is σ = 52907722560. Its totient is φ = 8688052224.

The previous prime is 22056211039. The next prime is 22056211057. The reversal of 22056211040 is 4011265022.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22056210997 and 22056211015.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2908694 + ... + 2916266.

It is an arithmetic number, because the mean of its divisors is an integer number (551122110).

Almost surely, 222056211040 is an apocalyptic number.

22056211040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22056211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26453861280).

22056211040 is an abundant number, since it is smaller than the sum of its proper divisors (30851511520).

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

22056211040 is a wasteful number, since it uses less digits than its factorization.

22056211040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7864 (or 7856 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 22056211040 its reverse (4011265022), we get a palindrome (26067476062).

The spelling of 22056211040 in words is "twenty-two billion, fifty-six million, two hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 109 160 167 218 334 436 545 668 835 872 1090 1336 1670 1744 2180 2672 3340 3488 4360 5344 6680 7573 8720 13360 15146 17440 18203 26720 30292 36406 37865 60584 72812 75730 91015 121168 145624 151460 182030 242336 291248 302920 364060 582496 605840 728120 825457 1211680 1264691 1456240 1650914 2529382 2912480 3301828 4127285 5058764 6323455 6603656 8254570 10117528 12646910 13207312 16509140 20235056 25293820 26414624 33018280 40470112 50587640 66036560 101175280 132073120 137851319 202350560 275702638 551405276 689256595 1102810552 1378513190 2205621104 2757026380 4411242208 5514052760 11028105520 22056211040