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223312313 = 72331101443
BaseRepresentation
bin11010100111101…
…11100110111001
3120120012102220102
431103313212321
5424131443223
634054205145
75351060210
oct1523674671
9516172812
10223312313
11105065934
12629537b5
133735a283
1421930077
1514911928
hexd4f79b9

223312313 has 32 divisors (see below), whose sum is σ = 278249472. Its totient is φ = 175032000.

The previous prime is 223312307. The next prime is 223312351. The reversal of 223312313 is 313213322.

It is a cyclic number.

It is not a de Polignac number, because 223312313 - 26 = 223312249 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (223312393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 503870 + ... + 504312.

It is an arithmetic number, because the mean of its divisors is an integer number (8695296).

Almost surely, 2223312313 is an apocalyptic number.

223312313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

223312313 is a deficient number, since it is larger than the sum of its proper divisors (54937159).

223312313 is a wasteful number, since it uses less digits than its factorization.

223312313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605.

The product of its digits is 648, while the sum is 20.

The square root of 223312313 is about 14943.6378770365. The cubic root of 223312313 is about 606.6956624161.

Adding to 223312313 its reverse (313213322), we get a palindrome (536525635).

The spelling of 223312313 in words is "two hundred twenty-three million, three hundred twelve thousand, three hundred thirteen".

Divisors: 1 7 23 31 101 161 217 443 707 713 2323 3101 3131 4991 10189 13733 16261 21917 44743 71323 72013 96131 313201 315859 504091 1029089 1387033 2211013 7203623 9709231 31901759 223312313