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210264217 is a prime number
BaseRepresentation
bin11001000100001…
…10000010011001
3112122122112021121
430202012002121
5412311423332
632510405241
75132134132
oct1442060231
9478575247
10210264217
11a8763689
125a500821
133473c1c7
141dcd4c89
15136d5797
hexc886099

210264217 has 2 divisors, whose sum is σ = 210264218. Its totient is φ = 210264216.

The previous prime is 210264199. The next prime is 210264221. The reversal of 210264217 is 712462012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131125401 + 79138816 = 11451^2 + 8896^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210264217 is a prime.

It is a super-2 number, since 2×2102642172 = 88422081901246178, which contains 22 as substring.

It is equal to p11615380 and since 210264217 and 11615380 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 210264191 and 210264200.

It is not a weakly prime, because it can be changed into another prime (210264287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105132108 + 105132109.

It is an arithmetic number, because the mean of its divisors is an integer number (105132109).

Almost surely, 2210264217 is an apocalyptic number.

It is an amenable number.

210264217 is a deficient number, since it is larger than the sum of its proper divisors (1).

210264217 is an equidigital number, since it uses as much as digits as its factorization.

210264217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 210264217 is about 14500.4902330921. The cubic root of 210264217 is about 594.6413741712.

The spelling of 210264217 in words is "two hundred ten million, two hundred sixty-four thousand, two hundred seventeen".