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354224513 is a prime number
BaseRepresentation
bin10101000111010…
…000100110000001
3220200112110200102
4111013100212001
51211140141023
655052132145
711530600346
oct2507204601
9820473612
10354224513
11171a50135
129a767055
1358505006
143508a7cd
1521170628
hex151d0981

354224513 has 2 divisors, whose sum is σ = 354224514. Its totient is φ = 354224512.

The previous prime is 354224489. The next prime is 354224527. The reversal of 354224513 is 315422453.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 350176369 + 4048144 = 18713^2 + 2012^2 .

It is a cyclic number.

It is not a de Polignac number, because 354224513 - 222 = 350030209 is a prime.

It is a super-3 number, since 3×3542245133 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (354224713) 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 as a sum of consecutive naturals, namely, 177112256 + 177112257.

It is an arithmetic number, because the mean of its divisors is an integer number (177112257).

Almost surely, 2354224513 is an apocalyptic number.

It is an amenable number.

354224513 is a deficient number, since it is larger than the sum of its proper divisors (1).

354224513 is an equidigital number, since it uses as much as digits as its factorization.

354224513 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 14400, while the sum is 29.

The square root of 354224513 is about 18820.8531421931. The cubic root of 354224513 is about 707.5539133251.

Adding to 354224513 its reverse (315422453), we get a palindrome (669646966).

The spelling of 354224513 in words is "three hundred fifty-four million, two hundred twenty-four thousand, five hundred thirteen".