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217066014 = 233112139239
BaseRepresentation
bin11001111000000…
…10101000011110
3120010110002121000
430330002220132
5421032103024
633312251130
75244013344
oct1474025036
9503402530
10217066014
11101589a00
1260840aa6
1335c81139
1420b85994
15140cacc9
hexcf02a1e

217066014 has 96 divisors (see below), whose sum is σ = 536256000. Its totient is φ = 65031120.

The previous prime is 217066007. The next prime is 217066043. The reversal of 217066014 is 410660712.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 908107 + ... + 908345.

It is an arithmetic number, because the mean of its divisors is an integer number (5586000).

Almost surely, 2217066014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217066014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268128000).

217066014 is an abundant number, since it is smaller than the sum of its proper divisors (319189986).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

217066014 is a wasteful number, since it uses less digits than its factorization.

217066014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 217066014 is about 14733.1603534340. The cubic root of 217066014 is about 600.9854306580.

The spelling of 217066014 in words is "two hundred seventeen million, sixty-six thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 139 198 239 242 278 297 363 417 478 594 717 726 834 1089 1251 1434 1529 2151 2178 2502 2629 3058 3267 3753 4302 4587 5258 6453 6534 7506 7887 9174 12906 13761 15774 16819 23661 27522 28919 33221 33638 41283 47322 50457 57838 66442 70983 82566 86757 99663 100914 141966 151371 173514 199326 260271 298989 302742 365431 454113 520542 597978 730862 780813 896967 908226 1096293 1561626 1793934 2192586 3288879 4019741 6577758 8039482 9866637 12059223 19733274 24118446 36177669 72355338 108533007 217066014