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223112513 = 1397176933
BaseRepresentation
bin11010100110001…
…10110101000001
3120112211021211102
431103012311001
5424104100023
634050024145
75346265541
oct1523066501
9515737742
10223112513
11104a39808
1262878055
13372ba350
14218bb321
15148c2628
hexd4c6d41

223112513 has 8 divisors (see below), whose sum is σ = 242753448. Its totient is φ = 203825664.

The previous prime is 223112507. The next prime is 223112537. The reversal of 223112513 is 315211322.

It can be written as a sum of positive squares in 4 ways, for example, as 42667024 + 180445489 = 6532^2 + 13433^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 223112513 - 210 = 223111489 is a prime.

It is a super-3 number, since 3×2231125133 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (223112503) 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 7 ways as a sum of consecutive naturals, for example, 87206 + ... + 89727.

It is an arithmetic number, because the mean of its divisors is an integer number (30344181).

Almost surely, 2223112513 is an apocalyptic number.

It is an amenable number.

223112513 is a deficient number, since it is larger than the sum of its proper divisors (19640935).

223112513 is a wasteful number, since it uses less digits than its factorization.

223112513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177043.

The product of its digits is 360, while the sum is 20.

The square root of 223112513 is about 14936.9512618874. The cubic root of 223112513 is about 606.5146693168.

Adding to 223112513 its reverse (315211322), we get a palindrome (538323835).

The spelling of 223112513 in words is "two hundred twenty-three million, one hundred twelve thousand, five hundred thirteen".

Divisors: 1 13 97 1261 176933 2300129 17162501 223112513