Search a number
-
+
212212210200 = 233521632169859
BaseRepresentation
bin1100010110100011010…
…1010101101000011000
3202021202102201020111220
43011220311111220120
511434102311211300
6241253340052040
721221550011244
oct3055065255030
9667672636456
10212212210200
1181aa9295501
1235165534020
131701c424863
14a3b1d7d424
1557c0661da0
hex3168d55a18

212212210200 has 96 divisors (see below), whose sum is σ = 661894094400. Its totient is φ = 56242719360.

The previous prime is 212212210187. The next prime is 212212210201. The reversal of 212212210200 is 2012212212.

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 212212210200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212212210201) by changing a digit.

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, 987130 + ... + 1182729.

It is an arithmetic number, because the mean of its divisors is an integer number (6894730150).

Almost surely, 2212212210200 is an apocalyptic number.

212212210200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212212210200 is an abundant number, since it is smaller than the sum of its proper divisors (449681884200).

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

212212210200 is a wasteful number, since it uses less digits than its factorization.

212212210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170041 (or 2170032 counting only the distinct ones).

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

Adding to 212212210200 its reverse (2012212212), we get a palindrome (214224422412).

The spelling of 212212210200 in words is "two hundred twelve billion, two hundred twelve million, two hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 163 200 300 326 489 600 652 815 978 1304 1630 1956 2445 3260 3912 4075 4890 6520 8150 9780 12225 16300 19560 24450 32600 48900 97800 2169859 4339718 6509577 8679436 10849295 13019154 17358872 21698590 26038308 32547885 43397180 52076616 54246475 65095770 86794360 108492950 130191540 162739425 216985900 260383080 325478850 353687017 433971800 650957700 707374034 1061061051 1301915400 1414748068 1768435085 2122122102 2829496136 3536870170 4244244204 5305305255 7073740340 8488488408 8842175425 10610610510 14147480680 17684350850 21221221020 26526526275 35368701700 42442442040 53053052550 70737403400 106106105100 212212210200