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233222412629 is a prime number
BaseRepresentation
bin1101100100110100100…
…0111001100101010101
3211021222200010002222102
43121031020321211111
512310114414201004
6255050233411445
722564316540603
oct3311510714525
9737880102872
10233222412629
118a9aaa76568
1239249869b85
1318cba19c3bb
14b4064aa873
1560eee2711e
hex364d239955

233222412629 has 2 divisors, whose sum is σ = 233222412630. Its totient is φ = 233222412628.

The previous prime is 233222412583. The next prime is 233222412653. The reversal of 233222412629 is 926214222332.

It is a happy number.

233222412629 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., 232994463025 + 227949604 = 482695^2 + 15098^2 .

It is a cyclic number.

It is not a de Polignac number, because 233222412629 - 216 = 233222347093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 233222412592 and 233222412601.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (233222414629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116611206314 + 116611206315.

It is an arithmetic number, because the mean of its divisors is an integer number (116611206315).

Almost surely, 2233222412629 is an apocalyptic number.

It is an amenable number.

233222412629 is a deficient number, since it is larger than the sum of its proper divisors (1).

233222412629 is an equidigital number, since it uses as much as digits as its factorization.

233222412629 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 124416, while the sum is 38.

The spelling of 233222412629 in words is "two hundred thirty-three billion, two hundred twenty-two million, four hundred twelve thousand, six hundred twenty-nine".