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212210210200 = 23527128352807
BaseRepresentation
bin1100010110100010110…
…1101101010110011000
3202021202021221122000211
43011220231231112120
511434101303211300
6241253225140504
721221524011322
oct3055055552630
9667667848024
10212210210200
1181aa814990a
123516492a734
131701bba4421
14a3b19bc612
1557c03b94ba
hex3168b6d598

212210210200 has 96 divisors (see below), whose sum is σ = 502115362560. Its totient is φ = 83391235200.

The previous prime is 212210210167. The next prime is 212210210237. The reversal of 212210210200 is 2012012212.

It is a happy number.

212210210200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 3992197 + ... + 4045003.

It is an arithmetic number, because the mean of its divisors is an integer number (5230368360).

Almost surely, 2212210210200 is an apocalyptic number.

212210210200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212210210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251057681280).

212210210200 is an abundant number, since it is smaller than the sum of its proper divisors (289905152360).

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

212210210200 is a wasteful number, since it uses less digits than its factorization.

212210210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53177 (or 53168 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 212210210200 its reverse (2012012212), we get a palindrome (214222222412).

The spelling of 212210210200 in words is "two hundred twelve billion, two hundred ten million, two hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 283 284 355 566 568 710 1132 1415 1420 1775 2264 2830 2840 3550 5660 7075 7100 11320 14150 14200 20093 28300 40186 52807 56600 80372 100465 105614 160744 200930 211228 264035 401860 422456 502325 528070 803720 1004650 1056140 1320175 2009300 2112280 2640350 3749297 4018600 5280700 7498594 10561400 14944381 14997188 18746485 29888762 29994376 37492970 59777524 74721905 74985940 93732425 119555048 149443810 149971880 187464850 298887620 373609525 374929700 597775240 747219050 749859400 1061051051 1494438100 2122102102 2988876200 4244204204 5305255255 8488408408 10610510510 21221021020 26526276275 42442042040 53052552550 106105105100 212210210200