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217094130 = 2325111032129
BaseRepresentation
bin11001111000010…
…01011111110010
3120010111112011100
430330021133302
5421034003010
633313025230
75244161331
oct1474113762
9503445140
10217094130
111015a9040
1260855216
1335c90b86
1420b91d18
15140d42c0
hexcf097f2

217094130 has 96 divisors (see below), whose sum is σ = 622028160. Its totient is φ = 52093440.

The previous prime is 217094113. The next prime is 217094149. The reversal of 217094130 is 31490712.

It is a super-2 number, since 2×2170941302 = 94259722560913800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 217094094 and 217094103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100906 + ... + 103034.

It is an arithmetic number, because the mean of its divisors is an integer number (6479460).

Almost surely, 2217094130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 217094130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311014080).

217094130 is an abundant number, since it is smaller than the sum of its proper divisors (404934030).

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

217094130 is a wasteful number, since it uses less digits than its factorization.

217094130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 217094130 is about 14734.1144966367. The cubic root of 217094130 is about 601.0113775678.

The spelling of 217094130 in words is "two hundred seventeen million, ninety-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 103 110 165 198 206 309 330 495 515 618 927 990 1030 1133 1545 1854 2129 2266 3090 3399 4258 4635 5665 6387 6798 9270 10197 10645 11330 12774 16995 19161 20394 21290 23419 31935 33990 38322 46838 50985 63870 70257 95805 101970 117095 140514 191610 210771 219287 234190 351285 421542 438574 657861 702570 1053855 1096435 1315722 1973583 2107710 2192870 2412157 3289305 3947166 4824314 6578610 7236471 9867915 12060785 14472942 19735830 21709413 24121570 36182355 43418826 72364710 108547065 217094130