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13222313 = 135917239
BaseRepresentation
bin110010011100…
…000110101001
3220212202121022
4302130012221
511341103223
61151222225
7220250006
oct62340651
926782538
1013222313
117511135
124517975
13297c470
141a828ad
151262ac8
hexc9c1a9

13222313 has 8 divisors (see below), whose sum is σ = 14481600. Its totient is φ = 11997648.

The previous prime is 13222303. The next prime is 13222327. The reversal of 13222313 is 31322231.

Adding to 13222313 its reverse (31322231), we get a palindrome (44544544).

It can be divided in two parts, 1322231 and 3, that multiplied together give a palindrome (3966693).

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

It is not a de Polignac number, because 13222313 - 210 = 13221289 is a prime.

It is a super-2 number, since 2×132223132 = 349659122139938, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13222291 and 13222300.

It is not an unprimeable number, because it can be changed into a prime (13222303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7853 + ... + 9386.

It is an arithmetic number, because the mean of its divisors is an integer number (1810200).

Almost surely, 213222313 is an apocalyptic number.

13222313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13222313 is a deficient number, since it is larger than the sum of its proper divisors (1259287).

13222313 is a wasteful number, since it uses less digits than its factorization.

13222313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17311.

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

The square root of 13222313 is about 3636.2498539017. The cubic root of 13222313 is about 236.4662393125.

The spelling of 13222313 in words is "thirteen million, two hundred twenty-two thousand, three hundred thirteen".

Divisors: 1 13 59 767 17239 224107 1017101 13222313