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223131401 is a prime number
BaseRepresentation
bin11010100110010…
…11011100001001
3120112212020201222
431103023130021
5424110201101
634050251425
75346404603
oct1523133411
9515766658
10223131401
11104a51a19
1262886b75
13372c5b1c
14218c4173
15148c801b
hexd4cb709

223131401 has 2 divisors, whose sum is σ = 223131402. Its totient is φ = 223131400.

The previous prime is 223131361. The next prime is 223131413. The reversal of 223131401 is 104131322.

223131401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 221295376 + 1836025 = 14876^2 + 1355^2 .

It is a cyclic number.

It is not a de Polignac number, because 223131401 - 210 = 223130377 is a prime.

It is a super-3 number, since 3×2231314013 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 223131401.

It is not a weakly prime, because it can be changed into another prime (223137401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111565700 + 111565701.

It is an arithmetic number, because the mean of its divisors is an integer number (111565701).

Almost surely, 2223131401 is an apocalyptic number.

It is an amenable number.

223131401 is a deficient number, since it is larger than the sum of its proper divisors (1).

223131401 is an equidigital number, since it uses as much as digits as its factorization.

223131401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 223131401 is about 14937.5835060427. The cubic root of 223131401 is about 606.5317840386.

Adding to 223131401 its reverse (104131322), we get a palindrome (327262723).

The spelling of 223131401 in words is "two hundred twenty-three million, one hundred thirty-one thousand, four hundred one".