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217104030 = 233511135623
BaseRepresentation
bin11001111000010…
…11111010011110
3120010112000202000
430330023322132
5421034312110
633313143130
75244232233
oct1474137236
9503460660
10217104030
11101605520
126085aaa6
1335c95530
1420b9578a
15140d71c0
hexcf0be9e

217104030 has 128 divisors (see below), whose sum is σ = 680279040. Its totient is φ = 48574080.

The previous prime is 217104023. The next prime is 217104031. The reversal of 217104030 is 30401712.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 217103994 and 217104012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (217104031) 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 63 ways as a sum of consecutive naturals, for example, 35799 + ... + 41421.

It is an arithmetic number, because the mean of its divisors is an integer number (5314680).

Almost surely, 2217104030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217104030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340139520).

217104030 is an abundant number, since it is smaller than the sum of its proper divisors (463175010).

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

217104030 is a wasteful number, since it uses less digits than its factorization.

217104030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5663 (or 5657 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 217104030 is about 14734.4504478450. The cubic root of 217104030 is about 601.0205132704.

Adding to 217104030 its reverse (30401712), we get a palindrome (247505742).

The spelling of 217104030 in words is "two hundred seventeen million, one hundred four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 27 30 33 39 45 54 55 65 66 78 90 99 110 117 130 135 143 165 195 198 234 270 286 297 330 351 390 429 495 585 594 702 715 858 990 1170 1287 1430 1485 1755 2145 2574 2970 3510 3861 4290 5623 6435 7722 11246 12870 16869 19305 28115 33738 38610 50607 56230 61853 73099 84345 101214 123706 146198 151821 168690 185559 219297 253035 303642 309265 365495 371118 438594 506070 556677 618530 657891 730990 759105 804089 927795 1096485 1113354 1315782 1518210 1608178 1670031 1855590 1973673 2192970 2412267 2783385 3289455 3340062 3947346 4020445 4824534 5566770 6578910 7236801 8040890 8350155 9868365 12061335 14473602 16700310 19736730 21710403 24122670 36184005 43420806 72368010 108552015 217104030