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212201202200 = 235213719113513
BaseRepresentation
bin1100010110100000101…
…1010110001000011000
3202021201122222222101012
43011220023112020120
511434042001432300
6241252304113052
721221354313041
oct3055013261030
9667648888335
10212201202200
1181aa3056a89
1235161905788
131701a06c250
14a3b07158c8
1557be6da435
hex31682d6218

212201202200 has 96 divisors (see below), whose sum is σ = 532062820800. Its totient is φ = 78241551360.

The previous prime is 212201202181. The next prime is 212201202209. The reversal of 212201202200 is 2202102212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212201202209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1812644 + ... + 1926156.

It is an arithmetic number, because the mean of its divisors is an integer number (5542321050).

Almost surely, 2212201202200 is an apocalyptic number.

212201202200 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 212201202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266031410400).

212201202200 is an abundant number, since it is smaller than the sum of its proper divisors (319861618600).

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

212201202200 is a wasteful number, since it uses less digits than its factorization.

212201202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114261 (or 114252 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 212201202200 its reverse (2202102212), we get a palindrome (214403304412).

The spelling of 212201202200 in words is "two hundred twelve billion, two hundred one million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 719 1300 1438 2600 2876 3595 5752 7190 9347 14380 17975 18694 28760 35950 37388 46735 71900 74776 93470 113513 143800 186940 227026 233675 373880 454052 467350 567565 908104 934700 1135130 1475669 1869400 2270260 2837825 2951338 4540520 5675650 5902676 7378345 11351300 11805352 14756690 22702600 29513380 36891725 59026760 73783450 81615847 147566900 163231694 295133800 326463388 408079235 652926776 816158470 1061006011 1632316940 2040396175 2122012022 3264633880 4080792350 4244024044 5305030055 8161584700 8488048088 10610060110 16323169400 21220120220 26525150275 42440240440 53050300550 106100601100 212201202200