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220212220212 = 223310120399901
BaseRepresentation
bin1100110100010110101…
…0111101000100110100
3210001101222010212011000
43031011222331010310
512101443312021322
6245055240043300
721624030662505
oct3150552750464
9701358125130
10220212220212
118543406a426
1236818763530
13179c596c3aa
14a93064abac
155adcb603ac
hex3345abd134

220212220212 has 96 divisors (see below), whose sum is σ = 576914284800. Its totient is φ = 72634320000.

The previous prime is 220212220181. The next prime is 220212220237. The reversal of 220212220212 is 212022212022.

220212220212 is a `hidden beast` number, since 2 + 20 + 212 + 220 + 212 = 666.

220212220212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 31 ways as a sum of consecutive naturals, for example, 22236462 + ... + 22246362.

It is an arithmetic number, because the mean of its divisors is an integer number (6009523800).

Almost surely, 2220212220212 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 220212220212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288457142400).

220212220212 is an abundant number, since it is smaller than the sum of its proper divisors (356702064588).

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

220212220212 is a wasteful number, since it uses less digits than its factorization.

220212220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12054 (or 12046 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 220212220212 its reverse (212022212022), we get a palindrome (432234432234).

The spelling of 220212220212 in words is "two hundred twenty billion, two hundred twelve million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 101 108 202 303 404 606 909 1212 1818 2039 2727 3636 4078 5454 6117 8156 9901 10908 12234 18351 19802 24468 29703 36702 39604 55053 59406 73404 89109 110106 118812 178218 205939 220212 267327 356436 411878 534654 617817 823756 1000001 1069308 1235634 1853451 2000002 2471268 3000003 3706902 4000004 5560353 6000006 7413804 9000009 11120706 12000012 18000018 20188139 22241412 27000027 36000036 40376278 54000054 60564417 80752556 108000108 121128834 181693251 242257668 363386502 545079753 726773004 1090159506 2039002039 2180319012 4078004078 6117006117 8156008156 12234012234 18351018351 24468024468 36702036702 55053055053 73404073404 110106110106 220212220212