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212222222212 = 2271113461114973
BaseRepresentation
bin1100010110100101101…
…1100001111110000100
3202021210010112220102011
43011221123201332010
511434112342102322
6241254334424004
721222031060630
oct3055133417604
9667703486364
10212222222212
1182003a036a0
1235168962004
131702151ba20
14a3b3427dc0
1557c148d677
hex31696e1f84

212222222212 has 96 divisors (see below), whose sum is σ = 499734031104. Its totient is φ = 76157452800.

The previous prime is 212222222207. The next prime is 212222222213.

212222222212 is nontrivially palindromic in base 10.

212222222212 is digitally balanced in base 2 and base 3, because in such bases 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 (22).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (212222222213) by changing a digit.

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, 1788358 + ... + 1903330.

It is an arithmetic number, because the mean of its divisors is an integer number (5205562824).

Almost surely, 2212222222212 is an apocalyptic number.

212222222212 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 212222222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249867015552).

212222222212 is an abundant number, since it is smaller than the sum of its proper divisors (287511808892).

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

212222222212 is a wasteful number, since it uses less digits than its factorization.

212222222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115469 (or 115467 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

Multiplying 212222222212 by its sum of digits (22), we get a palindrome (4668888888664).

It can be divided in two parts, 212222 and 222212, that added together give a palindrome (434434).

The spelling of 212222222212 in words is "two hundred twelve billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 461 572 922 1001 1844 2002 3227 4004 5071 5993 6454 10142 11986 12908 20284 23972 35497 41951 65923 70994 83902 114973 131846 141988 167804 229946 263692 459892 461461 804811 922922 1264703 1494649 1609622 1845844 2529406 2989298 3219244 5058812 5978596 8852921 10462543 16441139 17705842 20925086 32882278 35411684 41850172 53002553 65764556 106005106 115087973 212010212 230175946 371017871 460351892 583028083 689033189 742035742 1166056166 1378066378 1484071484 2332112332 2756132756 4081196581 4823232323 7579365079 8162393162 9646464646 15158730158 16324786324 19292929292 30317460316 53055555553 106111111106 212222222212