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216739005 = 35722312821
BaseRepresentation
bin11001110101100…
…10110010111101
3120002211111000120
430322302302331
5420441122010
633301245153
75241152100
oct1472626275
9502744016
10216739005
1110138624a
12607037b9
1335b98342
1420adc737
1514063e70
hexceb2cbd

216739005 has 48 divisors (see below), whose sum is σ = 420971904. Its totient is φ = 94765440.

The previous prime is 216738983. The next prime is 216739009. The reversal of 216739005 is 500937612.

It is not a de Polignac number, because 216739005 - 29 = 216738493 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216739009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10495 + ... + 23315.

It is an arithmetic number, because the mean of its divisors is an integer number (8770248).

Almost surely, 2216739005 is an apocalyptic number.

It is an amenable number.

216739005 is a deficient number, since it is larger than the sum of its proper divisors (204232899).

216739005 is a wasteful number, since it uses less digits than its factorization.

216739005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12866 (or 12859 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 216739005 is about 14722.0584498228. The cubic root of 216739005 is about 600.6834850070.

The spelling of 216739005 in words is "two hundred sixteen million, seven hundred thirty-nine thousand, five".

Divisors: 1 3 5 7 15 21 23 35 49 69 105 115 147 161 245 345 483 735 805 1127 2415 3381 5635 12821 16905 38463 64105 89747 192315 269241 294883 448735 628229 884649 1346205 1474415 1884687 2064181 3141145 4423245 6192543 9423435 10320905 14449267 30962715 43347801 72246335 216739005