Search a number
-
+
220341282143022 = 2321722932909107951
BaseRepresentation
bin110010000110011000110011…
…110110011111101100101110
31001220011102100210122202001100
4302012120303312133230232
5212340032421212034042
62100343215420223530
764261063243601145
oct6206306366375456
91056142323582040
10220341282143022
1164231238536757
122086774969aba6
1395c412ac78b81
143c5a80998475c
151a718b093024c
hexc86633d9fb2e

220341282143022 has 96 divisors (see below), whose sum is σ = 505887801644160. Its totient is φ = 69072137395200.

The previous prime is 220341282143009. The next prime is 220341282143071.

220341282143022 is a `hidden beast` number, since 2 + 2 + 0 + 3 + 412 + 8 + 214 + 3 + 0 + 22 = 666.

220341282143022 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2041069147 + ... + 2041177097.

It is an arithmetic number, because the mean of its divisors is an integer number (5269664600460).

Almost surely, 2220341282143022 is an apocalyptic number.

220341282143022 is an abundant number, since it is smaller than the sum of its proper divisors (285546519501138).

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

220341282143022 is a wasteful number, since it uses less digits than its factorization.

220341282143022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113178 (or 113175 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 220341282143022 in words is "two hundred twenty trillion, three hundred forty-one billion, two hundred eighty-two million, one hundred forty-three thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 2293 2909 4586 5818 6879 8727 13758 17454 20637 26181 38981 41274 49453 52362 77962 98906 107951 116943 148359 215902 233886 296718 323853 350829 445077 647706 701658 890154 971559 1835167 1943118 3670334 5505501 6670337 11011002 13340674 16516503 20011011 33033006 40022022 60033033 113395729 120066066 226791458 247531643 314029459 340187187 495063286 628058918 680374374 742594929 942088377 1020561561 1485189858 1884176754 2041123122 2227784787 2826265131 4208037931 4455569574 5338500803 5652530262 8416075862 10677001606 12624113793 16015502409 25248227586 32031004818 37872341379 48046507227 75744682758 96093014454 720069549487 1440139098974 2160208648461 4320417296922 6480625945383 12241182341279 12961251890766 24482364682558 36723547023837 73447094047674 110170641071511 220341282143022