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225016368217 is a prime number
BaseRepresentation
bin1101000110010000000…
…1010100110001011001
3210111210202222212021121
43101210001110301121
512141313142240332
6251212053405241
722154054400064
oct3214401246131
9714722885247
10225016368217
1187479967983
1237739639821
13182b0066a14
14ac686c98db
155cbe7cb797
hex3464054c59

225016368217 has 2 divisors, whose sum is σ = 225016368218. Its totient is φ = 225016368216.

The previous prime is 225016368197. The next prime is 225016368221. The reversal of 225016368217 is 712863610522.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 201981931776 + 23034436441 = 449424^2 + 151771^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-225016368217 is a prime.

It is a super-3 number, since 3×2250163682173 (a number of 35 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (225016368917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 112508184108 + 112508184109.

It is an arithmetic number, because the mean of its divisors is an integer number (112508184109).

Almost surely, 2225016368217 is an apocalyptic number.

It is an amenable number.

225016368217 is a deficient number, since it is larger than the sum of its proper divisors (1).

225016368217 is an equidigital number, since it uses as much as digits as its factorization.

225016368217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 241920, while the sum is 43.

Adding to 225016368217 its reverse (712863610522), we get a palindrome (937879978739).

The spelling of 225016368217 in words is "two hundred twenty-five billion, sixteen million, three hundred sixty-eight thousand, two hundred seventeen".