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223133013 = 32149166393
BaseRepresentation
bin11010100110010…
…11110101010101
3120112212022221200
431103023311111
5424110224023
634050303113
75346412365
oct1523136525
9515768850
10223133013
11104a53154
1262887a99
13372c678c
14218c49a5
15148c8743
hexd4cbd55

223133013 has 12 divisors (see below), whose sum is σ = 324468300. Its totient is φ = 147756096.

The previous prime is 223133011. The next prime is 223133033. The reversal of 223133013 is 310331322.

It can be written as a sum of positive squares in 2 ways, for example, as 24830289 + 198302724 = 4983^2 + 14082^2 .

It is not a de Polignac number, because 223133013 - 21 = 223133011 is a prime.

It is a super-3 number, since 3×2231330133 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223133011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81856 + ... + 84537.

It is an arithmetic number, because the mean of its divisors is an integer number (27039025).

Almost surely, 2223133013 is an apocalyptic number.

It is an amenable number.

223133013 is a deficient number, since it is larger than the sum of its proper divisors (101335287).

223133013 is a wasteful number, since it uses less digits than its factorization.

223133013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166548 (or 166545 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 223133013 is about 14937.6374638026. The cubic root of 223133013 is about 606.5332446531.

Adding to 223133013 its reverse (310331322), we get a palindrome (533464335).

The spelling of 223133013 in words is "two hundred twenty-three million, one hundred thirty-three thousand, thirteen".

Divisors: 1 3 9 149 447 1341 166393 499179 1497537 24792557 74377671 223133013