Search a number
-
+
221100002201220 = 223553611139808239
BaseRepresentation
bin110010010001011011011011…
…000101110100111010000100
31001222211221202022022011110120
4302101123123011310322010
5212440000301030414340
62102123534440221540
764366643111642502
oct6221333305647204
91058757668264416
10221100002201220
11644a3a911a516a
122096a7b346a8b0
13964a84393ba7c
143c8542375d672
151a864b9bad4d0
hexc916db174e84

221100002201220 has 96 divisors (see below), whose sum is σ = 641101101903360. Its totient is φ = 56899227240960.

The previous prime is 221100002201189. The next prime is 221100002201249. The reversal of 221100002201220 is 22102200001122.

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

It is a self number, because there is not a number n which added to its sum of digits gives 221100002201220.

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 31 ways as a sum of consecutive naturals, for example, 569710140 + ... + 570098099.

It is an arithmetic number, because the mean of its divisors is an integer number (6678136478160).

Almost surely, 2221100002201220 is an apocalyptic number.

221100002201220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221100002201220 is an abundant number, since it is smaller than the sum of its proper divisors (420001099702140).

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

221100002201220 is a wasteful number, since it uses less digits than its factorization.

221100002201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139808365 (or 1139808363 counting only the distinct ones).

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

Adding to 221100002201220 its reverse (22102200001122), we get a palindrome (243202202202342).

The spelling of 221100002201220 in words is "two hundred twenty-one trillion, one hundred billion, two million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 61 106 122 159 183 212 244 265 305 318 366 530 610 636 732 795 915 1060 1220 1590 1830 3180 3233 3660 6466 9699 12932 16165 19398 32330 38796 48495 64660 96990 193980 1139808239 2279616478 3419424717 4559232956 5699041195 6838849434 11398082390 13677698868 17097123585 22796164780 34194247170 60409836667 68388494340 69528302579 120819673334 139056605158 181229510001 208584907737 241639346668 278113210316 302049183335 347641512895 362459020002 417169815474 604098366670 695283025790 724918040004 834339630948 906147550005 1042924538685 1208196733340 1390566051580 1812295100010 2085849077370 3624590200020 3685000036687 4171698154740 7370000073374 11055000110061 14740000146748 18425000183435 22110000220122 36850000366870 44220000440244 55275000550305 73700000733740 110550001100610 221100002201220