Search a number
-
+
212200210332 = 2232112833189149
BaseRepresentation
bin1100010110100000011…
…1100011111110011100
3202021201121010120210100
43011220013203332130
511434041223212312
6241252230541100
721221343012225
oct3055007437634
9667647116710
10212200210332
1181aa2539860
1235161507790
1317019ab2946
14a3b053824c
1557be5915dc
hex31681e3f9c

212200210332 has 72 divisors (see below), whose sum is σ = 585367801200. Its totient is φ = 64280056320.

The previous prime is 212200210331. The next prime is 212200210361. The reversal of 212200210332 is 233012002212.

212200210332 is a `hidden beast` number, since 2 + 122 + 0 + 0 + 210 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212200210331) 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, 1027294 + ... + 1216442.

It is an arithmetic number, because the mean of its divisors is an integer number (8130108350).

Almost surely, 2212200210332 is an apocalyptic number.

212200210332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

212200210332 is an abundant number, since it is smaller than the sum of its proper divisors (373167590868).

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

212200210332 is a wasteful number, since it uses less digits than its factorization.

212200210332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192003 (or 191998 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 212200210332 its reverse (233012002212), we get a palindrome (445212212544).

The spelling of 212200210332 in words is "two hundred twelve billion, two hundred million, two hundred ten thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2833 5666 8499 11332 16998 25497 31163 33996 50994 62326 93489 101988 124652 186978 189149 280467 373956 378298 560934 567447 756596 1121868 1134894 1702341 2080639 2269788 3404682 4161278 6241917 6809364 8322556 12483834 18725751 24967668 37451502 74903004 535859117 1071718234 1607577351 2143436468 3215154702 4822732053 5894450287 6430309404 9645464106 11788900574 17683350861 19290928212 23577801148 35366701722 53050052583 70733403444 106100105166 212200210332