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2223013013 = 13397569757
BaseRepresentation
bin1000010010000000…
…0111110010010101
312201220222202120022
42010200013302111
514023042404023
61004330514525
7106042204334
oct20440076225
95656882508
102223013013
11a40918641
12520595a45
1329572b320
1417134bd1b
15d02657c8
hex84807c95

2223013013 has 16 divisors (see below), whose sum is σ = 2407438320. Its totient is φ = 2040546816.

The previous prime is 2223012983. The next prime is 2223013019. The reversal of 2223013013 is 3103103222.

It can be written as a sum of positive squares in 8 ways, for example, as 118222129 + 2104790884 = 10873^2 + 45878^2 .

It is a cyclic number.

It is not a de Polignac number, because 2223013013 - 26 = 2223012949 is a prime.

It is a Duffinian number.

2223013013 is a modest number, since divided by 13013 gives 2223 as remainder.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2223012982 and 2223013000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2223013019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2936231 + ... + 2936987.

It is an arithmetic number, because the mean of its divisors is an integer number (150464895).

Almost surely, 22223013013 is an apocalyptic number.

It is an amenable number.

2223013013 is a deficient number, since it is larger than the sum of its proper divisors (184425307).

2223013013 is a wasteful number, since it uses less digits than its factorization.

2223013013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736.

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 2223013013 is about 47148.8389358635. The cubic root of 2223013013 is about 1305.1106540934.

Adding to 2223013013 its reverse (3103103222), we get a palindrome (5326116235).

The spelling of 2223013013 in words is "two billion, two hundred twenty-three million, thirteen thousand, thirteen".

Divisors: 1 13 397 569 757 5161 7397 9841 225893 300529 430733 2936609 3906877 5599529 171001001 2223013013