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2233346013 = 341973103193
BaseRepresentation
bin1000010100011110…
…0010011111011101
312202122102201210000
42011013202133131
514033214033023
61005340204513
7106226061603
oct20507423735
95678381700
102233346013
11a46735a08
12523b39739
13297908622
1417287b873
15d1107243
hex851e27dd

2233346013 has 80 divisors (see below), whose sum is σ = 3613118080. Its totient is φ = 1370566656.

The previous prime is 2233345993. The next prime is 2233346077. The reversal of 2233346013 is 3106433322.

It is a happy number.

2233346013 is a `hidden beast` number, since 2 + 23 + 3 + 34 + 601 + 3 = 666.

It is not a de Polignac number, because 2233346013 - 224 = 2216568797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2233346813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11571645 + ... + 11571837.

It is an arithmetic number, because the mean of its divisors is an integer number (45163976).

Almost surely, 22233346013 is an apocalyptic number.

It is an amenable number.

2233346013 is a deficient number, since it is larger than the sum of its proper divisors (1379772067).

2233346013 is a wasteful number, since it uses less digits than its factorization.

2233346013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

The square root of 2233346013 is about 47258.2904155451. The cubic root of 2233346013 is about 1307.1296657324.

Adding to 2233346013 its reverse (3106433322), we get a palindrome (5339779335).

The spelling of 2233346013 in words is "two billion, two hundred thirty-three million, three hundred forty-six thousand, thirteen".

Divisors: 1 3 9 19 27 57 73 81 103 171 193 219 309 513 579 657 927 1387 1539 1737 1957 1971 2781 3667 4161 5211 5871 5913 7519 8343 11001 12483 14089 15633 17613 19879 22557 33003 37449 42267 52839 59637 67671 99009 112347 126801 142861 158517 178911 203013 267691 297027 377701 380403 428583 536733 609039 803073 1133103 1141209 1285749 1451167 1610199 2409219 3399309 3857247 4353501 7227657 10197927 11571741 13060503 21682971 27572173 30593781 39181509 82716519 117544527 248149557 744448671 2233346013