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404224213 is a prime number
BaseRepresentation
bin11000000101111…
…111100011010101
31001011121201101011
4120011333203111
51311440133323
6104035532221
713005564151
oct3005774325
91034551334
10404224213
111981a06a8
12b345a071
1365990233
143b984061
152574a20d
hex1817f8d5

404224213 has 2 divisors, whose sum is σ = 404224214. Its totient is φ = 404224212.

The previous prime is 404224169. The next prime is 404224217. The reversal of 404224213 is 312422404.

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., 388208209 + 16016004 = 19703^2 + 4002^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-404224213 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (404224217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 202112106 + 202112107.

It is an arithmetic number, because the mean of its divisors is an integer number (202112107).

Almost surely, 2404224213 is an apocalyptic number.

It is an amenable number.

404224213 is a deficient number, since it is larger than the sum of its proper divisors (1).

404224213 is an equidigital number, since it uses as much as digits as its factorization.

404224213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 404224213 is about 20105.3279754397. The cubic root of 404224213 is about 739.3909116333.

Adding to 404224213 its reverse (312422404), we get a palindrome (716646617).

The spelling of 404224213 in words is "four hundred four million, two hundred twenty-four thousand, two hundred thirteen".