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217068138 = 232721731467
BaseRepresentation
bin11001111000000…
…11001001101010
3120010110012111200
430330003021222
5421032140023
633312305030
75244022500
oct1474031152
9503405450
10217068138
11101590561
1260842176
1335c820b1
1420b86670
15140cb743
hexcf0326a

217068138 has 144 divisors (see below), whose sum is σ = 599249664. Its totient is φ = 56367360.

The previous prime is 217068127. The next prime is 217068151. The reversal of 217068138 is 831860712.

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 71 ways as a sum of consecutive naturals, for example, 464581 + ... + 465047.

It is an arithmetic number, because the mean of its divisors is an integer number (4161456).

Almost surely, 2217068138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217068138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299624832).

217068138 is an abundant number, since it is smaller than the sum of its proper divisors (382181526).

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

217068138 is a wasteful number, since it uses less digits than its factorization.

217068138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 217068138 is about 14733.2324355519. The cubic root of 217068138 is about 600.9873908741.

The spelling of 217068138 in words is "two hundred seventeen million, sixty-eight thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 31 34 42 49 51 62 63 93 98 102 119 126 147 153 186 217 238 279 294 306 357 434 441 467 527 558 651 714 833 882 934 1054 1071 1302 1401 1519 1581 1666 1953 2142 2499 2802 3038 3162 3269 3689 3906 4203 4557 4743 4998 6538 7378 7497 7939 8406 9114 9486 9807 11067 13671 14477 14994 15878 19614 22134 22883 23817 25823 27342 28954 29421 33201 43431 45766 47634 51646 55573 58842 66402 68649 71451 77469 86862 101339 111146 130293 137298 142902 154938 166719 202678 205947 232407 246109 260586 304017 333438 389011 411894 464814 492218 500157 608034 709373 738327 778022 912051 1000314 1167033 1418746 1476654 1722763 1824102 2128119 2214981 2334066 3445526 3501099 4256238 4429962 5168289 6384357 7002198 10336578 12059341 12768714 15504867 24118682 31009734 36178023 72356046 108534069 217068138