Search a number
-
+
221422402212 = 2231110119983459
BaseRepresentation
bin1100111000110111001…
…1011011101010100100
3210011112022022110202120
43032031303123222210
512111433113332322
6245415310305540
721666024236064
oct3161563335244
9704468273676
10221422402212
11859a51a0040
1236ab5ab82b0
1317b595ba20b
14aa0726b3a4
155b5e00ca5c
hex338dcdbaa4

221422402212 has 96 divisors (see below), whose sum is σ = 572068224000. Its totient is φ = 66098736000.

The previous prime is 221422402207. The next prime is 221422402219. The reversal of 221422402212 is 212204224122.

It is not an unprimeable number, because it can be changed into a prime (221422402219) 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, 2611339 + ... + 2694797.

It is an arithmetic number, because the mean of its divisors is an integer number (5959044000).

Almost surely, 2221422402212 is an apocalyptic number.

221422402212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221422402212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286034112000).

221422402212 is an abundant number, since it is smaller than the sum of its proper divisors (350645821788).

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

221422402212 is a wasteful number, since it uses less digits than its factorization.

221422402212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83777 (or 83775 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 221422402212 its reverse (212204224122), we get a palindrome (433626626334).

The spelling of 221422402212 in words is "two hundred twenty-one billion, four hundred twenty-two million, four hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 101 132 199 202 303 398 404 597 606 796 1111 1194 1212 2189 2222 2388 3333 4378 4444 6567 6666 8756 13134 13332 20099 26268 40198 60297 80396 83459 120594 166918 221089 241188 250377 333836 442178 500754 663267 884356 918049 1001508 1326534 1836098 2653068 2754147 3672196 5508294 8429359 11016588 16608341 16858718 25288077 33216682 33717436 49825023 50576154 66433364 92722949 99650046 101152308 182691751 185445898 199300092 278168847 365383502 370891796 548075253 556337694 730767004 1096150506 1112675388 1677442441 2192301012 3354884882 5032327323 6709769764 10064654646 18451866851 20129309292 36903733702 55355600553 73807467404 110711201106 221422402212