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212212002212 = 22731916349943
BaseRepresentation
bin1100010110100011010…
…0100010110110100100
3202021202102022200012122
43011220310202312210
511434102233032322
6241253331405112
721221545154000
oct3055064426644
9667672280178
10212212002212
1181aa9163211
1235165453798
131701c380ca2
14a3b1d27700
1557c0620442
hex3168d22da4

212212002212 has 96 divisors (see below), whose sum is σ = 458685696000. Its totient is φ = 85630952736.

The previous prime is 212212002199. The next prime is 212212002241. The reversal of 212212002212 is 212200212212.

It is a happy number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4224113 + ... + 4274055.

It is an arithmetic number, because the mean of its divisors is an integer number (4777976000).

Almost surely, 2212212002212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212212002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229342848000).

212212002212 is an abundant number, since it is smaller than the sum of its proper divisors (246473693788).

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

212212002212 is a wasteful number, since it uses less digits than its factorization.

212212002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50150 (or 50134 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 212212002212 its reverse (212200212212), we get a palindrome (424412214424).

The spelling of 212212002212 in words is "two hundred twelve billion, two hundred twelve million, two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 163 196 266 326 343 532 652 686 931 1141 1372 1862 2282 3097 3724 4564 6194 6517 7987 12388 13034 15974 21679 26068 31948 43358 49943 55909 86716 99886 111818 151753 199772 223636 303506 349601 607012 699202 948917 1062271 1398404 1897834 2124542 2447207 3795668 4249084 4894414 6642419 8140709 9788828 13284838 16281418 17130449 26569676 32562836 34260898 46496933 56984963 68521796 92993866 113969926 154673471 185987732 227939852 309346942 325478531 398894741 618693884 650957062 797789482 1082714297 1301914124 1595578964 2165428594 2792263187 4330857188 5584526374 7579000079 11169052748 15158000158 30316000316 53053000553 106106001106 212212002212