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22240341354 = 2371129714507
BaseRepresentation
bin10100101101101000…
…001010110101101010
32010101222010101211110
4110231220022311222
5331022011410404
614114515411150
71415064532230
oct245550126552
963358111743
1022240341354
119483102700
1243882b3ab6
1321358922ca
14110da64950
158a27a5b89
hex52da0ad6a

22240341354 has 96 divisors (see below), whose sum is σ = 55946515968. Its totient is φ = 5769482400.

The previous prime is 22240341337. The next prime is 22240341373. The reversal of 22240341354 is 45314304222.

It is a Curzon number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4932369 + ... + 4936875.

It is an arithmetic number, because the mean of its divisors is an integer number (582776208).

Almost surely, 222240341354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22240341354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27973257984).

22240341354 is an abundant number, since it is smaller than the sum of its proper divisors (33706174614).

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

22240341354 is a wasteful number, since it uses less digits than its factorization.

22240341354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5512 (or 5501 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 22240341354 its reverse (45314304222), we get a palindrome (67554645576).

The spelling of 22240341354 in words is "twenty-two billion, two hundred forty million, three hundred forty-one thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 971 1694 1942 2541 2913 4507 5082 5826 6797 9014 10681 13521 13594 20391 21362 27042 31549 32043 40782 49577 63098 64086 74767 94647 99154 117491 148731 149534 189294 224301 234982 297462 347039 352473 448602 545347 694078 704946 822437 1041117 1090694 1636041 1644874 2082234 2467311 3272082 3817429 4376297 4934622 7634858 8752594 11452287 13128891 22904574 26257782 30634079 48139267 61268158 91902237 96278534 144417801 183804474 288835602 336974869 529531937 673949738 1010924607 1059063874 1588595811 2021849214 3177191622 3706723559 7413447118 11120170677 22240341354