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22041341322 = 23711132282299
BaseRepresentation
bin10100100001110001…
…000010110110001010
32002220002200011002220
4110201301002312022
5330120040410242
614043050234510
71410130211220
oct244161026612
962802604086
1022041341322
119390842a70
124331725a36
132103598200
1410d1462b10
15890097bec
hex521c42d8a

22041341322 has 96 divisors (see below), whose sum is σ = 59513356800. Its totient is φ = 5284618560.

The previous prime is 22041341321. The next prime is 22041341327. The reversal of 22041341322 is 22314314022.

It is a happy number.

It is a super-3 number, since 3×220413413223 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22041341292 and 22041341301.

It is not an unprimeable number, because it can be changed into a prime (22041341321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63072 + ... + 219227.

It is an arithmetic number, because the mean of its divisors is an integer number (619930800).

Almost surely, 222041341322 is an apocalyptic number.

22041341322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22041341322 is an abundant number, since it is smaller than the sum of its proper divisors (37472015478).

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

22041341322 is a wasteful number, since it uses less digits than its factorization.

22041341322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282348 (or 282335 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 22041341322 its reverse (22314314022), we get a palindrome (44355655344).

It can be divided in two parts, 22041 and 341322, that added together give a palindrome (363363).

The spelling of 22041341322 in words is "twenty-two billion, forty-one million, three hundred forty-one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 169 182 231 273 286 338 429 462 507 546 858 1001 1014 1183 1859 2002 2366 3003 3549 3718 5577 6006 7098 11154 13013 26026 39039 78078 282299 564598 846897 1693794 1976093 3105289 3669887 3952186 5928279 6210578 7339774 9315867 11009661 11856558 18631734 21737023 22019322 25689209 40368757 43474046 47708531 51378418 65211069 77067627 80737514 95417062 121106271 130422138 143125593 154135254 242212542 282581299 286251186 333959717 524793841 565162598 667919434 847743897 1001879151 1049587682 1574381523 1695487794 2003758302 3148763046 3673556887 7347113774 11020670661 22041341322