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338590201 is a prime number
BaseRepresentation
bin10100001011100…
…111100111111001
3212121010011102211
4110023213213321
51143134341301
653333055121
711250653305
oct2413474771
9777104384
10338590201
11164141914
12954874a1
13551bca41
1432d7ad05
151ead3051
hex142e79f9

338590201 has 2 divisors, whose sum is σ = 338590202. Its totient is φ = 338590200.

The previous prime is 338590181. The next prime is 338590211. The reversal of 338590201 is 102095833.

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., 336685801 + 1904400 = 18349^2 + 1380^2 .

It is a cyclic number.

It is not a de Polignac number, because 338590201 - 27 = 338590073 is a prime.

It is a super-2 number, since 2×3385902012 = 229286648426440802, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (338590211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 169295100 + 169295101.

It is an arithmetic number, because the mean of its divisors is an integer number (169295101).

Almost surely, 2338590201 is an apocalyptic number.

It is an amenable number.

338590201 is a deficient number, since it is larger than the sum of its proper divisors (1).

338590201 is an equidigital number, since it uses as much as digits as its factorization.

338590201 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 31.

The square root of 338590201 is about 18400.8206610466. The cubic root of 338590201 is about 696.9871881451.

The spelling of 338590201 in words is "three hundred thirty-eight million, five hundred ninety thousand, two hundred one".