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212232222222 = 231737122945757
BaseRepresentation
bin1100010110101000000…
…1101011011000001110
3202021210211100221211220
43011222001223120032
511434122422102342
6241255333024210
721222212060316
oct3055201533016
9667724327756
10212232222222
1182009613869
1235170185066
13170236105a7
14a3b48ac446
1557c22b65ec
hex316a06b60e

212232222222 has 64 divisors (see below), whose sum is σ = 461965446720. Its totient is φ = 64728999936.

The previous prime is 212232222193. The next prime is 212232222269. The reversal of 212232222222 is 222222232212.

It is a super-3 number, since 3×2122322222223 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

212232222222 is a modest number, since divided by 222222 gives 212232 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 212232222192 and 212232222201.

It is a congruent 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, 4615368 + ... + 4661124.

It is an arithmetic number, because the mean of its divisors is an integer number (7218210105).

Almost surely, 2212232222222 is an apocalyptic number.

212232222222 is an abundant number, since it is smaller than the sum of its proper divisors (249733224498).

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

212232222222 is a wasteful number, since it uses less digits than its factorization.

212232222222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47045.

The product of its digits is 3072, while the sum is 24.

Adding to 212232222222 its reverse (222222232212), we get a palindrome (434454454434).

The spelling of 212232222222 in words is "two hundred twelve billion, two hundred thirty-two million, two hundred twenty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 17 34 37 51 74 102 111 222 629 1229 1258 1887 2458 3687 3774 7374 20893 41786 45473 45757 62679 90946 91514 125358 136419 137271 272838 274542 773041 777869 1546082 1555738 1693009 2319123 2333607 3386018 4638246 4667214 5079027 10158054 28781153 56235353 57562306 86343459 112470706 168706059 172686918 337412118 956001001 1912002002 2080708061 2868003003 4161416122 5736006006 6242124183 12484248366 35372037037 70744074074 106116111111 212232222222