Search a number
-
+
22214514310425 = 33521071671841759
BaseRepresentation
bin1010000110100001110000…
…01110111111110100011001
32220122200112200211101222000
411003100320032333310121
510402430311130413200
6115125112413151213
74451642242050543
oct503207016776431
986580480741860
1022214514310425
117095139219298
1225a93a3a8b509
13c51a86b9ba28
1456b28c704693
15287cb565e300
hex1434383bfd19

22214514310425 has 96 divisors (see below), whose sum is σ = 41436947865600. Its totient is φ = 11666726556480.

The previous prime is 22214514310421. The next prime is 22214514310441. The reversal of 22214514310425 is 52401341541222.

22214514310425 is a `hidden beast` number, since 2 + 2 + 2 + 14 + 514 + 3 + 104 + 25 = 666.

It is not a de Polignac number, because 22214514310425 - 22 = 22214514310421 is a prime.

It is a super-2 number, since 2×222145143104252 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22214514310425.

It is not an unprimeable number, because it can be changed into a prime (22214514310421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11140696 + ... + 12982454.

It is an arithmetic number, because the mean of its divisors is an integer number (431634873600).

Almost surely, 222214514310425 is an apocalyptic number.

22214514310425 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22214514310425 is a deficient number, since it is larger than the sum of its proper divisors (19222433555175).

22214514310425 is a wasteful number, since it uses less digits than its factorization.

22214514310425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842052 (or 1842041 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 22214514310425 its reverse (52401341541222), we get a palindrome (74615855851647).

The spelling of 22214514310425 in words is "twenty-two trillion, two hundred fourteen billion, five hundred fourteen million, three hundred ten thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 107 135 167 225 321 501 535 675 835 963 1503 1605 2505 2675 2889 4175 4509 4815 7515 8025 12525 14445 17869 22545 24075 37575 53607 72225 89345 112725 160821 268035 446725 482463 804105 1340175 1841759 2412315 4020525 5525277 9208795 12061575 16575831 27626385 46043975 49727493 82879155 138131925 197068213 248637465 307573753 414395775 591204639 922721259 985341065 1243187325 1537868765 1773613917 2768163777 2956023195 4613606295 4926705325 5320841751 7689343825 8304491331 8868069585 13840818885 14780115975 23068031475 26604208755 32910391571 41522456655 44340347925 69204094425 98731174713 133021043775 164551957855 207612283275 296193524139 493655873565 822759789275 888580572417 1480967620695 2468279367825 4442902862085 7404838103475 22214514310425