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212333013220 = 225237114943633
BaseRepresentation
bin1100010111000000001…
…0001010100011100100
3202022001212000200002211
43011300002022203210
511434324222410340
6241313333213204
721224544555526
oct3056002124344
9668055020084
10212333013220
11820604a5609
1235199a91204
131703b470133
14a3c4027a16
1557cb0755ea
hex317008a8e4

212333013220 has 96 divisors (see below), whose sum is σ = 475017177600. Its totient is φ = 79556843520.

The previous prime is 212333013203. The next prime is 212333013241. The reversal of 212333013220 is 22310333212.

It is a junction number, because it is equal to n+sod(n) for n = 212333013191 and 212333013200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4844524 + ... + 4888156.

It is an arithmetic number, because the mean of its divisors is an integer number (4948095600).

Almost surely, 2212333013220 is an apocalyptic number.

212333013220 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 212333013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237508588800).

212333013220 is an abundant number, since it is smaller than the sum of its proper divisors (262684164380).

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

212333013220 is a wasteful number, since it uses less digits than its factorization.

212333013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43885 (or 43883 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 212333013220 its reverse (22310333212), we get a palindrome (234643346432).

The spelling of 212333013220 in words is "two hundred twelve billion, three hundred thirty-three million, thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 71 92 115 142 149 230 284 298 355 460 596 710 745 1420 1490 1633 2980 3266 3427 6532 6854 8165 10579 13708 16330 17135 21158 32660 34270 42316 43633 52895 68540 87266 105790 174532 211580 218165 243317 436330 486634 872660 973268 1003559 1216585 2007118 2433170 3097943 4014236 4866340 5017795 6195886 6501317 10035590 12391772 13002634 15489715 20071180 26005268 30979430 32506585 61958860 65013170 71252689 130026340 142505378 149530291 285010756 299060582 356263445 461593507 598121164 712526890 747651455 923187014 1425053780 1495302910 1846374028 2307967535 2990605820 4615935070 9231870140 10616650661 21233301322 42466602644 53083253305 106166506610 212333013220