Search a number
-
+
212333220220 = 2251123291447003
BaseRepresentation
bin1100010111000000001…
…0111101000101111100
3202022001212102012001111
43011300002331011330
511434324301021340
6241313341451404
721224546410162
oct3056002750574
9668055365044
10212333220220
1182060627090
1235199b70b64
131703b513414
14a3c407d232
1557cb0b6aea
hex31700bd17c

212333220220 has 96 divisors (see below), whose sum is σ = 525088811520. Its totient is φ = 71308258560.

The previous prime is 212333220193. The next prime is 212333220223. The reversal of 212333220220 is 22022333212.

212333220220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 212333220191 and 212333220200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212333220223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 576762 + ... + 870241.

It is an arithmetic number, because the mean of its divisors is an integer number (5469675120).

Almost surely, 2212333220220 is an apocalyptic number.

212333220220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212333220220 is an abundant number, since it is smaller than the sum of its proper divisors (312755591300).

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

212333220220 is a wasteful number, since it uses less digits than its factorization.

212333220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1447075 (or 1447073 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 212333220220 its reverse (22022333212), we get a palindrome (234355553432).

The spelling of 212333220220 in words is "two hundred twelve billion, three hundred thirty-three million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 29 44 46 55 58 92 110 115 116 145 220 230 253 290 319 460 506 580 638 667 1012 1265 1276 1334 1595 2530 2668 3190 3335 5060 6380 6670 7337 13340 14674 29348 36685 73370 146740 1447003 2894006 5788012 7235015 14470030 15917033 28940060 31834066 33281069 41963087 63668132 66562138 79585165 83926174 133124276 159170330 166405345 167852348 209815435 318340660 332810690 366091759 419630870 461593957 665621380 732183518 839261740 923187914 965151001 1464367036 1830458795 1846375828 1930302002 2307969785 3660917590 3860604004 4615939570 4825755005 7321835180 9231879140 9651510010 10616661011 19303020020 21233322022 42466644044 53083305055 106166610110 212333220220