Search a number
-
+
22340200204322 = 27111311158941161
BaseRepresentation
bin1010001010001011110111…
…01100101000100000100010
32221002200221222000100120022
411011011323230220200202
510412010212223014242
6115302540222113442
74464011662401230
oct505057354504042
987080858010508
1022340200204322
117133475675680
12260981ba1b882
13c60897055550
145733b2c53950
1528b1be8a40d2
hex14517bb28822

22340200204322 has 32 divisors (see below), whose sum is σ = 44992850765184. Its totient is φ = 8034437635200.

The previous prime is 22340200204297. The next prime is 22340200204363.

22340200204322 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 22340200204291 and 22340200204300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5579468579 + ... + 5579472582.

It is an arithmetic number, because the mean of its divisors is an integer number (1406026586412).

Almost surely, 222340200204322 is an apocalyptic number.

22340200204322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22340200204322 is an abundant number, since it is smaller than the sum of its proper divisors (22652650560862).

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

22340200204322 is a wasteful number, since it uses less digits than its factorization.

22340200204322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11158941194.

The product of its (nonzero) digits is 9216, while the sum is 26.

It can be divided in two parts, 22340200 and 204322, that added together give a palindrome (22544522).

The spelling of 22340200204322 in words is "twenty-two trillion, three hundred forty billion, two hundred million, two hundred four thousand, three hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 11158941161 22317882322 78112588127 122748352771 145066235093 156225176254 245496705542 290132470186 859238469397 1015463645651 1595728586023 1718476938794 2030927291302 3191457172046 11170100102161 22340200204322