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212213020200 = 233522511409117
BaseRepresentation
bin1100010110100011100…
…0011011011000101000
3202021202111020101121220
43011220320123120220
511434103013121300
6241253405302040
721221556623616
oct3055070333050
9667674211556
10212213020200
1181aa9799025
1235165864920
131701c64944c
14a3b21106b6
1557c0771da0
hex3168e1b628

212213020200 has 96 divisors (see below), whose sum is σ = 660481788960. Its totient is φ = 56364640000.

The previous prime is 212213020199. The next prime is 212213020223. The reversal of 212213020200 is 2020312212.

It is a happy number.

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 212213020200.

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, 553959 + ... + 855158.

It is an arithmetic number, because the mean of its divisors is an integer number (6880018635).

Almost surely, 2212213020200 is an apocalyptic number.

212213020200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212213020200 is an abundant number, since it is smaller than the sum of its proper divisors (448268768760).

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

212213020200 is a wasteful number, since it uses less digits than its factorization.

212213020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409387 (or 1409378 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 212213020200 its reverse (2020312212), we get a palindrome (214233332412).

The spelling of 212213020200 in words is "two hundred twelve billion, two hundred thirteen million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 251 300 502 600 753 1004 1255 1506 2008 2510 3012 3765 5020 6024 6275 7530 10040 12550 15060 18825 25100 30120 37650 50200 75300 150600 1409117 2818234 4227351 5636468 7045585 8454702 11272936 14091170 16909404 21136755 28182340 33818808 35227925 42273510 56364680 70455850 84547020 105683775 140911700 169094040 211367550 281823400 353688367 422735100 707376734 845470200 1061065101 1414753468 1768441835 2122130202 2829506936 3536883670 4244260404 5305325505 7073767340 8488520808 8842209175 10610651010 14147534680 17684418350 21221302020 26526627525 35368836700 42442604040 53053255050 70737673400 106106510100 212213020200