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516323214 = 233112194159
BaseRepresentation
bin11110110001100…
…111011110001110
31022222112221022000
4132301213132032
52024134320324
6123122333130
715536450331
oct3661473616
91288487260
10516323214
112454a6300
12124aba1a6
1382c7bac4
144c804618
15304de9c9
hex1ec6778e

516323214 has 96 divisors (see below), whose sum is σ = 1327872000. Its totient is φ = 148191120.

The previous prime is 516323207. The next prime is 516323237. The reversal of 516323214 is 412323615.

516323214 is a `hidden beast` number, since 5 + 1 + 632 + 3 + 21 + 4 = 666.

It is a super-2 number, since 2×5163232142 = 533179322630579592, which contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122067 + ... + 126225.

It is an arithmetic number, because the mean of its divisors is an integer number (13832000).

Almost surely, 2516323214 is an apocalyptic number.

516323214 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 516323214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663936000).

516323214 is an abundant number, since it is smaller than the sum of its proper divisors (811548786).

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

516323214 is a wasteful number, since it uses less digits than its factorization.

516323214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4211 (or 4194 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 516323214 is about 22722.7466209523. The cubic root of 516323214 is about 802.2453659768.

Adding to 516323214 its reverse (412323615), we get a palindrome (928646829).

The spelling of 516323214 in words is "five hundred sixteen million, three hundred twenty-three thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 121 171 198 209 242 297 342 363 418 513 594 627 726 1026 1089 1254 1881 2178 2299 3267 3762 4159 4598 5643 6534 6897 8318 11286 12477 13794 20691 24954 37431 41382 45749 62073 74862 79021 91498 112293 124146 137247 158042 224586 237063 274494 411741 474126 503239 711189 823482 869231 1006478 1235223 1422378 1509717 1738462 2133567 2470446 2607693 3019434 4267134 4529151 5215386 7823079 9058302 9561541 13587453 15646158 19123082 23469237 27174906 28684623 46938474 57369246 86053869 172107738 258161607 516323214