Search a number
-
+
2212210220 = 2251131547593
BaseRepresentation
bin1000001111011011…
…1010011000101100
312201011122220220212
42003312322120230
514012311211340
61003303201552
7105551322323
oct20366723054
95634586825
102212210220
11a3580a310
12518a462b8
1329341823c
1416db390ba
15ce32ea65
hex83dba62c

2212210220 has 96 divisors (see below), whose sum is σ = 5249857536. Its totient is φ = 775756800.

The previous prime is 2212210211. The next prime is 2212210237. The reversal of 2212210220 is 220122122.

2212210220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2212210195 and 2212210204.

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, 3730244 + ... + 3730836.

It is an arithmetic number, because the mean of its divisors is an integer number (54686016).

Almost surely, 22212210220 is an apocalyptic number.

2212210220 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 2212210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2624928768).

2212210220 is an abundant number, since it is smaller than the sum of its proper divisors (3037647316).

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

2212210220 is a wasteful number, since it uses less digits than its factorization.

2212210220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1189 counting only the distinct ones).

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

The square root of 2212210220 is about 47034.1388780532. The cubic root of 2212210220 is about 1302.9931466214.

Adding to 2212210220 its reverse (220122122), we get a palindrome (2432332342).

It can be divided in two parts, 22122102 and 20, that added together give a palindrome (22122122).

The spelling of 2212210220 in words is "two billion, two hundred twelve million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 547 593 620 682 1094 1186 1364 1705 2188 2372 2735 2965 3410 5470 5930 6017 6523 6820 10940 11860 12034 13046 16957 18383 24068 26092 30085 32615 33914 36766 60170 65230 67828 73532 84785 91915 120340 130460 169570 183830 186527 202213 324371 339140 367660 373054 404426 648742 746108 808852 932635 1011065 1297484 1621855 1865270 2022130 3243710 3568081 3730540 4044260 6487420 7136162 10055501 14272324 17840405 20111002 35680810 40222004 50277505 71361620 100555010 110610511 201110020 221221022 442442044 553052555 1106105110 2212210220