Search a number
-
+
222300420210 = 232511647347057
BaseRepresentation
bin1100111100001000100…
…0110011100001110010
3210020210111110102000200
43033002020303201302
512120232401421320
6250042353300030
722026545252241
oct3170210634162
9706714412020
10222300420210
1186305878a50
12370bbb64616
1317c694882ab
14aa8bb04958
155bb1146290
hex33c2233872

222300420210 has 96 divisors (see below), whose sum is σ = 631501183872. Its totient is φ = 53807562240.

The previous prime is 222300420191. The next prime is 222300420211. The reversal of 222300420210 is 12024003222.

222300420210 is a `hidden beast` number, since 2 + 2 + 2 + 30 + 0 + 420 + 210 = 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 (222300420211) by changing a digit.

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, 467002 + ... + 814058.

It is an arithmetic number, because the mean of its divisors is an integer number (6578137332).

Almost surely, 2222300420210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222300420210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315750591936).

222300420210 is an abundant number, since it is smaller than the sum of its proper divisors (409200763662).

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

222300420210 is a wasteful number, since it uses less digits than its factorization.

222300420210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347728 (or 347725 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 222300420210 its reverse (12024003222), we get a palindrome (234324423432).

The spelling of 222300420210 in words is "two hundred twenty-two billion, three hundred million, four hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 647 990 1294 1941 3235 3882 5823 6470 7117 9705 11646 14234 19410 21351 29115 35585 42702 58230 64053 71170 106755 128106 213510 320265 347057 640530 694114 1041171 1735285 2082342 3123513 3470570 3817627 5205855 6247026 7635254 10411710 11452881 15617565 19088135 22905762 31235130 34358643 38176270 57264405 68717286 114528810 171793215 224545879 343586430 449091758 673637637 1122729395 1347275274 2020912911 2245458790 2470004669 3368188185 4041825822 4940009338 6736376370 7410014007 10104564555 12350023345 14820028014 20209129110 22230042021 24700046690 37050070035 44460084042 74100140070 111150210105 222300420210