Search a number
-
+
222100002102 = 231117241284003
BaseRepresentation
bin1100111011011000110…
…0010001010100110110
3210020021112100010001210
43032312030101110312
512114330100031402
6250010433502250
722021562604006
oct3166614212466
9706245303053
10222100002102
118621272a950
1237064a11986
1317c36ab58b4
14aa6d254006
155b9d75806c
hex33b6311536

222100002102 has 96 divisors (see below), whose sum is σ = 527320450944. Its totient is φ = 61798835200.

The previous prime is 222100002077. The next prime is 222100002139. The reversal of 222100002102 is 201200001222.

222100002102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 640033 + ... + 924035.

It is an arithmetic number, because the mean of its divisors is an integer number (5492921364).

Almost surely, 2222100002102 is an apocalyptic number.

222100002102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222100002102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263660225472).

222100002102 is an abundant number, since it is smaller than the sum of its proper divisors (305220448842).

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

222100002102 is a wasteful number, since it uses less digits than its factorization.

222100002102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284094 (or 284077 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 222100002102 its reverse (201200001222), we get a palindrome (423300003324).

The spelling of 222100002102 in words is "two hundred twenty-two billion, one hundred million, two thousand, one hundred two".

Divisors: 1 2 3 6 11 17 22 33 34 41 51 66 82 102 123 187 246 289 374 451 561 578 697 867 902 1122 1353 1394 1734 2091 2706 3179 4182 6358 7667 9537 11849 15334 19074 23001 23698 35547 46002 71094 130339 260678 284003 391017 568006 782034 852009 1704018 3124033 4828051 6248066 9372099 9656102 11644123 14484153 18744198 23288246 28968306 34932369 53108561 69864738 82076867 106217122 128085353 159325683 164153734 197950091 246230601 256170706 318651366 384256059 395900182 492461202 593850273 768512118 902845537 1187700546 1805691074 2177451001 2708536611 3365151547 4354902002 5417073222 6532353003 6730303094 10095454641 13064706006 20190909282 37016667017 74033334034 111050001051 222100002102