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211201222200 = 233521918526423
BaseRepresentation
bin1100010010110010010…
…0101110011000111000
3202012010222100201200220
43010230210232120320
511430020003102300
6241005143100040
721154522524333
oct3045444563070
9665128321626
10211201222200
118162a647231
1234b22a41620
1316bbab3b1c7
14a3179b161a
155761a0eda0
hex312c92e638

211201222200 has 96 divisors (see below), whose sum is σ = 689182972800. Its totient is φ = 53356095360.

The previous prime is 211201222187. The next prime is 211201222229. The reversal of 211201222200 is 2222102112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211201222200.

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 23 ways as a sum of consecutive naturals, for example, 9251812 + ... + 9274611.

It is an arithmetic number, because the mean of its divisors is an integer number (7178989300).

Almost surely, 2211201222200 is an apocalyptic number.

211201222200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201222200 is an abundant number, since it is smaller than the sum of its proper divisors (477981750600).

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

211201222200 is a wasteful number, since it uses less digits than its factorization.

211201222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18526461 (or 18526452 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 211201222200 its reverse (2222102112), we get a palindrome (213423324312).

The spelling of 211201222200 in words is "two hundred eleven billion, two hundred one million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 150 152 190 200 228 285 300 380 456 475 570 600 760 950 1140 1425 1900 2280 2850 3800 5700 11400 18526423 37052846 55579269 74105692 92632115 111158538 148211384 185264230 222317076 277896345 352002037 370528460 444634152 463160575 555792690 704004074 741056920 926321150 1056006111 1111585380 1389481725 1408008148 1760010185 1852642300 2112012222 2223170760 2778963450 2816016296 3520020370 3705284600 4224024444 5280030555 5557926900 7040040740 8448048888 8800050925 10560061110 11115853800 14080081480 17600101850 21120122220 26400152775 35200203700 42240244440 52800305550 70400407400 105600611100 211201222200