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220055335112214 = 232717376113265713
BaseRepresentation
bin110010000010001110100000…
…000101001000111000010110
31001212011002021122212111221200
4302002032200011020320112
5212320341311242042324
62100004005251053330
764231321226126250
oct6202164005107026
91055132248774850
10220055335112214
1164130a41927188
12208202465a1246
1395a318a713b64
143c4aa40d86cd0
151a69226d68ec9
hexc823a0148e16

220055335112214 has 96 divisors (see below), whose sum is σ = 548768840203584. Its totient is φ = 62427379415040.

The previous prime is 220055335112189. The next prime is 220055335112267. The reversal of 220055335112214 is 412211533550022.

220055335112214 is a `hidden beast` number, since 2 + 2 + 0 + 0 + 5 + 533 + 5 + 112 + 2 + 1 + 4 = 666.

It is a super-2 number, since 2×2200553351122142 (a number of 29 digits) contains 22 as substring.

It is a congruent 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, 9955422 + ... + 23221134.

It is an arithmetic number, because the mean of its divisors is an integer number (5716342085454).

Almost surely, 2220055335112214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220055335112214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274384420101792).

220055335112214 is an abundant number, since it is smaller than the sum of its proper divisors (328713505091370).

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

220055335112214 is a wasteful number, since it uses less digits than its factorization.

220055335112214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13266662 (or 13266659 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 220055335112214 its reverse (412211533550022), we get a palindrome (632266868662236).

The spelling of 220055335112214 in words is "two hundred twenty trillion, fifty-five billion, three hundred thirty-five million, one hundred twelve thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 173 346 519 761 1038 1211 1522 1557 2283 2422 3114 3633 4566 5327 6849 7266 10654 10899 13698 15981 21798 31962 47943 95886 131653 263306 394959 789918 921571 1184877 1843142 2369754 2764713 5529426 8294139 13265713 16588278 26531426 39797139 79594278 92859991 119391417 185719982 238782834 278579973 557159946 835739919 1671479838 2294968349 4589936698 6884905047 10095207593 13769810094 16064778443 20190415186 20654715141 30285622779 32129556886 41309430282 48194335329 60571245558 70666453151 90856868337 96388670658 141332906302 144583005987 181713736674 211999359453 289166011974 423998718906 635998078359 1271996156718 1746470913589 3492941827178 5239412740767 10478825481534 12225296395123 15718238222301 24450592790246 31436476444602 36675889185369 73351778370738 110027667556107 220055335112214