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405313229 is a prime number
BaseRepresentation
bin11000001010001…
…001011011001101
31001020200001020002
4120022021123031
51312230010404
6104115134045
713021051136
oct3012113315
91036601202
10405313229
11198874912
12b38a4325
1365c81b19
143bb88c8d
15258b2c1e
hex182896cd

405313229 has 2 divisors, whose sum is σ = 405313230. Its totient is φ = 405313228.

The previous prime is 405313157. The next prime is 405313231. The reversal of 405313229 is 922313504.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 246427204 + 158886025 = 15698^2 + 12605^2 .

It is a cyclic number.

It is not a de Polignac number, because 405313229 - 224 = 388536013 is a prime.

It is a Sophie Germain prime.

Together with 405313231, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (405313729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202656614 + 202656615.

It is an arithmetic number, because the mean of its divisors is an integer number (202656615).

Almost surely, 2405313229 is an apocalyptic number.

It is an amenable number.

405313229 is a deficient number, since it is larger than the sum of its proper divisors (1).

405313229 is an equidigital number, since it uses as much as digits as its factorization.

405313229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 405313229 is about 20132.3925304470. The cubic root of 405313229 is about 740.0543112074.

The spelling of 405313229 in words is "four hundred five million, three hundred thirteen thousand, two hundred twenty-nine".