Search a number
-
+
220332220112322 = 232232263923508257
BaseRepresentation
bin110010000110010000010111…
…101101100101110111000010
31001220010112222020211212220200
4302012100113231211313002
5212334410341322043242
62100335120301350030
764260322545604443
oct6206202755456702
91056115866755820
10220332220112322
116422840822798a
1220865a3a868316
1395c33156ba526
143c5a1ca2232ca
151a7153009e04c
hexc86417b65dc2

220332220112322 has 48 divisors (see below), whose sum is σ = 498164435608320. Its totient is φ = 70247746711296.

The previous prime is 220332220112311. The next prime is 220332220112441. The reversal of 220332220112322 is 223211022233022.

220332220112322 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 3 + 2 + 220 + 112 + 322 = 666.

It is a super-2 number, since 2×2203322201123222 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2381583 + ... + 21126674.

It is an arithmetic number, because the mean of its divisors is an integer number (10378425741840).

Almost surely, 2220332220112322 is an apocalyptic number.

220332220112322 is an abundant number, since it is smaller than the sum of its proper divisors (277832215495998).

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

220332220112322 is a wasteful number, since it uses less digits than its factorization.

220332220112322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23530927 (or 23530924 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 220332220112322 its reverse (223211022233022), we get a palindrome (443543242345344).

The spelling of 220332220112322 in words is "two hundred twenty trillion, three hundred thirty-two billion, two hundred twenty million, one hundred twelve thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 22639 45278 67917 135834 203751 407502 520697 1041394 1562091 3124182 4686273 9372546 23508257 47016514 70524771 141049542 211574313 423148626 540689911 1081379822 1622069733 3244139466 4866209199 9732418398 532203430223 1064406860446 1596610290669 3193220581338 4789830872007 9579661744014 12240678895129 24481357790258 36722036685387 73444073370774 110166110056161 220332220112322