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220221012000210 = 235133118215137469
BaseRepresentation
bin110010000100101000110011…
…001100010011110111010010
31001212201220220222011110021120
4302010220303030103313102
5212331100113033001320
62100212045233503110
764246304654341314
oct6204506314236722
91055656828143246
10220221012000210
1164195230140311
1220848383411a96
1395b59a1b189b0
143c54a7a7db7b4
151a6d6c1db7440
hexc84a33313dd2

220221012000210 has 64 divisors (see below), whose sum is σ = 587547474232320. Its totient is φ = 52459595907840.

The previous prime is 220221012000191. The next prime is 220221012000217. The reversal of 220221012000210 is 12000210122022.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 220221012000210.

It is not an unprimeable number, because it can be changed into a prime (220221012000217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9107556645 + ... + 9107580824.

It is an arithmetic number, because the mean of its divisors is an integer number (9180429284880).

Almost surely, 2220221012000210 is an apocalyptic number.

220221012000210 is an abundant number, since it is smaller than the sum of its proper divisors (367326462232110).

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

220221012000210 is a wasteful number, since it uses less digits than its factorization.

220221012000210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18215137523.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 220221012000210 its reverse (12000210122022), we get a palindrome (232221222122232).

The spelling of 220221012000210 in words is "two hundred twenty trillion, two hundred twenty-one billion, twelve million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 13 15 26 30 31 39 62 65 78 93 130 155 186 195 310 390 403 465 806 930 1209 2015 2418 4030 6045 12090 18215137469 36430274938 54645412407 91075687345 109290824814 182151374690 236796787097 273227062035 473593574194 546454124070 564669261539 710390361291 1129338523078 1183983935485 1420780722582 1694007784617 2367967870970 2823346307695 3388015569234 3551951806455 5646692615390 7103903612910 7340700400007 8470038923085 14681400800014 16940077846170 22022101200021 36703502000035 44044202400042 73407004000070 110110506000105 220221012000210