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214577201 is a prime number
BaseRepresentation
bin11001100101000…
…11000000110001
3112221202122120202
430302203000301
5414412432301
633143044545
75213606336
oct1462430061
9487678522
10214577201
1110013a033
125ba40755
13355bc377
14206d898d
1513c8866b
hexcca3031

214577201 has 2 divisors, whose sum is σ = 214577202. Its totient is φ = 214577200.

The previous prime is 214577197. The next prime is 214577243. The reversal of 214577201 is 102775412.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 129937201 + 84640000 = 11399^2 + 9200^2 .

It is a cyclic number.

It is not a de Polignac number, because 214577201 - 22 = 214577197 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (214577801) 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, 107288600 + 107288601.

It is an arithmetic number, because the mean of its divisors is an integer number (107288601).

Almost surely, 2214577201 is an apocalyptic number.

It is an amenable number.

214577201 is a deficient number, since it is larger than the sum of its proper divisors (1).

214577201 is an equidigital number, since it uses as much as digits as its factorization.

214577201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 214577201 is about 14648.4538774575. The cubic root of 214577201 is about 598.6796902867.

The spelling of 214577201 in words is "two hundred fourteen million, five hundred seventy-seven thousand, two hundred one".