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229437116017 = 5361263326953
BaseRepresentation
bin1101010110101110000…
…1001000111001110001
3210221012212102010012121
43111223201020321301
512224341400203032
6253222453354241
722401444210454
oct3255341107161
9727185363177
10229437116017
11893382a815a
1238572038981
1318835bb2615
14b16788549b
155e7c962a97
hex356b848e71

229437116017 has 16 divisors (see below), whose sum is σ = 237697406928. Its totient is φ = 221325511680.

The previous prime is 229437116011. The next prime is 229437116023. The reversal of 229437116017 is 710611734922.

229437116017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (229437116011) and next prime (229437116023).

It can be written as a sum of positive squares in 8 ways, for example, as 17055315216 + 212381800801 = 130596^2 + 460849^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-229437116017 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (229437116011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8499013 + ... + 8525965.

It is an arithmetic number, because the mean of its divisors is an integer number (14856087933).

Almost surely, 2229437116017 is an apocalyptic number.

It is an amenable number.

229437116017 is a deficient number, since it is larger than the sum of its proper divisors (8260290911).

229437116017 is a wasteful number, since it uses less digits than its factorization.

229437116017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29700.

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 229437116017 in words is "two hundred twenty-nine billion, four hundred thirty-seven million, one hundred sixteen thousand, seventeen".

Divisors: 1 53 61 2633 3233 26953 139549 160613 1428509 1644133 8512489 70967249 87139049 3761264197 4329002189 229437116017