Search a number
-
+
2203323122 = 2721121314293
BaseRepresentation
bin1000001101010100…
…0000101011110010
312200112221102010002
42003111000223302
514003022314442
61002344510002
7105412636400
oct20325005362
95615842102
102203323122
11a3079a300
12515a7b302
132916260c0
1416c8a4470
15cd676732
hex83540af2

2203323122 has 72 divisors (see below), whose sum is σ = 4551238188. Its totient is φ = 792348480.

The previous prime is 2203323121. The next prime is 2203323151. The reversal of 2203323122 is 2213233022.

It can be written as a sum of positive squares in 2 ways, for example, as 1584756481 + 618566641 = 39809^2 + 24871^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2203323094 and 2203323103.

It is not an unprimeable number, because it can be changed into a prime (2203323121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 147008 + ... + 161300.

Almost surely, 22203323122 is an apocalyptic number.

2203323122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2203323122 is an abundant number, since it is smaller than the sum of its proper divisors (2347915066).

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

2203323122 is a wasteful number, since it uses less digits than its factorization.

2203323122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14344 (or 14326 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2203323122 is about 46939.5688305719. The cubic root of 2203323122 is about 1301.2459695364.

Adding to 2203323122 its reverse (2213233022), we get a palindrome (4416556144).

The spelling of 2203323122 in words is "two billion, two hundred three million, three hundred twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 121 143 154 182 242 286 539 637 847 1001 1078 1274 1573 1694 2002 3146 5929 7007 11011 11858 14014 14293 22022 28586 77077 100051 154154 157223 185809 200102 314446 371618 700357 1100561 1300663 1400714 1729453 2043899 2201122 2601326 3458906 4087798 7703927 9104641 12106171 14307293 15407854 18209282 22482889 24212342 28614586 44965778 84743197 100151051 157380223 169486394 200302102 314760446 1101661561 2203323122