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10222200422214 = 23112371137692299
BaseRepresentation
bin1001010011000000101010…
…0111111111111101000110
31100012020021201112020101120
42110300022213333331012
52314440031302002324
633424003011134410
72103346440643314
oct224601247777506
940166251466346
1010222200422214
113291235711aa0
12119116a2a4406
13591c459a0bb1
14274a858430b4
1512ad823d5179
hex94c0a9fff46

10222200422214 has 128 divisors (see below), whose sum is σ = 23772762316800. Its totient is φ = 2899897862400.

The previous prime is 10222200422209. The next prime is 10222200422251. The reversal of 10222200422214 is 41222400222201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14419437 + ... + 15111735.

It is an arithmetic number, because the mean of its divisors is an integer number (185724705600).

Almost surely, 210222200422214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10222200422214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11886381158400).

10222200422214 is an abundant number, since it is smaller than the sum of its proper divisors (13550561894586).

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

10222200422214 is a wasteful number, since it uses less digits than its factorization.

10222200422214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692546.

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10222200422214 its reverse (41222400222201), we get a palindrome (51444600644415).

The spelling of 10222200422214 in words is "ten trillion, two hundred twenty-two billion, two hundred million, four hundred twenty-two thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 71 137 138 142 213 253 274 411 426 506 759 781 822 1507 1518 1562 1633 2343 3014 3151 3266 4521 4686 4899 6302 9042 9453 9727 9798 17963 18906 19454 29181 34661 35926 53889 58362 69322 103983 106997 107778 207966 213994 223721 320991 447442 641982 671163 692299 1342326 1384598 2076897 2460931 4153794 4921862 7382793 7615289 14765586 15230578 15922877 22845867 31845754 45691734 47768631 49153229 94844963 95537262 98306458 147459687 175151647 189689926 284534889 294919374 350303294 525454941 540685519 569069778 1043294593 1050909882 1081371038 1130524267 1622056557 2086589186 2181434149 2261048534 3129883779 3244113114 3391572801 4362868298 6259767558 6544302447 6733992373 6783145602 12435766937 13088604894 13467984746 20201977119 23995775639 24871533874 37307300811 40403954238 47991551278 71987326917 74073916103 74614601622 143974653834 148147832206 154881824579 222221748309 309763649158 444443496618 464645473737 929290947474 1703700070369 3407400140738 5111100211107 10222200422214