Search a number
-
+
220201200212202 = 2321113718144849267
BaseRepresentation
bin110010000100010110010110…
…010100010101100011101010
31001212200000210020210100100100
4302010112112110111203222
5212330234024223242302
62100155011310250230
764245004006044366
oct6204262624254352
91055600706710310
10220201200212202
11641878939827a0
12208445744b6976
1395b3b6542ba01
143c53b1b50a2a6
151a6ce12927d1c
hexc845965158ea

220201200212202 has 96 divisors (see below), whose sum is σ = 527171212661184. Its totient is φ = 65874601900800.

The previous prime is 220201200212197. The next prime is 220201200212209. The reversal of 220201200212202 is 202212002102022.

220201200212202 is a `hidden beast` number, since 2 + 20 + 201 + 200 + 21 + 220 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (220201200212209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17514828 + ... + 27334439.

It is an arithmetic number, because the mean of its divisors is an integer number (5491366798554).

Almost surely, 2220201200212202 is an apocalyptic number.

220201200212202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

220201200212202 is an abundant number, since it is smaller than the sum of its proper divisors (306970012448982).

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

220201200212202 is a wasteful number, since it uses less digits than its factorization.

220201200212202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44849604 (or 44849601 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220201200212202 its reverse (202212002102022), we get a palindrome (422413202314224).

The spelling of 220201200212202 in words is "two hundred twenty trillion, two hundred one billion, two hundred million, two hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 137 181 198 274 362 411 543 822 1086 1233 1507 1629 1991 2466 3014 3258 3982 4521 5973 9042 11946 13563 17919 24797 27126 35838 49594 74391 148782 223173 272767 446346 545534 818301 1636602 2454903 4909806 44849267 89698534 134547801 269095602 403643403 493341937 807286806 986683874 1480025811 2960051622 4440077433 6144349579 8117717327 8880154866 12288699158 16235434654 18433048737 24353151981 36866097474 48706303962 55299146211 67587845369 73059455943 89294890597 110598292422 135175690738 146118911886 178589781194 202763536107 267884671791 405527072214 535769343582 608290608321 803654015373 1112127273799 1216581216642 1607308030746 2224254547598 3336381821397 6672763642794 10009145464191 12233400011789 20018290928382 24466800023578 36700200035367 73400400070734 110100600106101 220201200212202