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420224317 is a prime number
BaseRepresentation
bin11001000011000…
…001110100111101
31002021201121101121
4121003001310331
51330034134232
6105410510541
713261563532
oct3103016475
91067647347
10420224317
111a6229827
12b8895451
13690a2b56
143db4ad89
1526d5ad97
hex190c1d3d

420224317 has 2 divisors, whose sum is σ = 420224318. Its totient is φ = 420224316.

The previous prime is 420224263. The next prime is 420224323. The reversal of 420224317 is 713422024.

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., 380016036 + 40208281 = 19494^2 + 6341^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-420224317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 420224291 and 420224300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (420224117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210112158 + 210112159.

It is an arithmetic number, because the mean of its divisors is an integer number (210112159).

Almost surely, 2420224317 is an apocalyptic number.

It is an amenable number.

420224317 is a deficient number, since it is larger than the sum of its proper divisors (1).

420224317 is an equidigital number, since it uses as much as digits as its factorization.

420224317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 420224317 is about 20499.3735757949. The cubic root of 420224317 is about 749.0205389129.

The spelling of 420224317 in words is "four hundred twenty million, two hundred twenty-four thousand, three hundred seventeen".