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212212112200 = 235211432243257
BaseRepresentation
bin1100010110100011010…
…0111101101101001000
3202021202102112021002021
43011220310331231020
511434102300042300
6241253334014224
721221546122444
oct3055064755510
9667672467067
10212212112200
1181aa9228910
12351654a7374
131701c3bc07a
14a3b1d55824
1557c0642d1a
hex3168d3db48

212212112200 has 96 divisors (see below), whose sum is σ = 550764704160. Its totient is φ = 75373401600.

The previous prime is 212212112173. The next prime is 212212112209. The reversal of 212212112200 is 2211212212.

It is a happy number.

212212112200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212212112209) 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 23 ways as a sum of consecutive naturals, for example, 1027029 + ... + 1216228.

It is an arithmetic number, because the mean of its divisors is an integer number (5737132335).

Almost surely, 2212212112200 is an apocalyptic number.

212212112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212112200 is an abundant number, since it is smaller than the sum of its proper divisors (338552591960).

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

212212112200 is a wasteful number, since it uses less digits than its factorization.

212212112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243327 (or 2243318 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 212212112200 its reverse (2211212212), we get a palindrome (214423324412).

The spelling of 212212112200 in words is "two hundred twelve billion, two hundred twelve million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 43 44 50 55 86 88 100 110 172 200 215 220 275 344 430 440 473 550 860 946 1075 1100 1720 1892 2150 2200 2365 3784 4300 4730 8600 9460 11825 18920 23650 47300 94600 2243257 4486514 8973028 11216285 17946056 22432570 24675827 44865140 49351654 56081425 89730280 96460051 98703308 112162850 123379135 192920102 197406616 224325700 246758270 385840204 448651400 482300255 493516540 616895675 771680408 964600510 987033080 1061060561 1233791350 1929201020 2122121122 2411501275 2467582700 3858402040 4244242244 4823002550 4935165400 5305302805 8488484488 9646005100 10610605610 19292010200 21221211220 26526514025 42442422440 53053028050 106106056100 212212112200