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214262417 is a prime number
BaseRepresentation
bin11001100010101…
…10001010010001
3112221011122210002
430301112022101
5414322344132
633132215345
75211125525
oct1461261221
9487148702
10214262417
11aaa44586
125b90a555
133550bcc5
1420655d85
1513c25262
hexcc56291

214262417 has 2 divisors, whose sum is σ = 214262418. Its totient is φ = 214262416.

The previous prime is 214262393. The next prime is 214262423. The reversal of 214262417 is 714262412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 176119441 + 38142976 = 13271^2 + 6176^2 .

It is a cyclic number.

It is not a de Polignac number, because 214262417 - 28 = 214262161 is a prime.

It is a super-3 number, since 3×2142624173 (a number of 26 digits) contains 333 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 214262417.

It is not a weakly prime, because it can be changed into another prime (214292417) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107131208 + 107131209.

It is an arithmetic number, because the mean of its divisors is an integer number (107131209).

Almost surely, 2214262417 is an apocalyptic number.

It is an amenable number.

214262417 is a deficient number, since it is larger than the sum of its proper divisors (1).

214262417 is an equidigital number, since it uses as much as digits as its factorization.

214262417 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5376, while the sum is 29.

The square root of 214262417 is about 14637.7053187991. The cubic root of 214262417 is about 598.3867933463.

The spelling of 214262417 in words is "two hundred fourteen million, two hundred sixty-two thousand, four hundred seventeen".