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214399206 = 232721779181
BaseRepresentation
bin11001100011101…
…11100011100110
3112221102121102100
430301313203212
5414341233311
633135152530
75212235400
oct1461674346
9487377370
10214399206
1110002832a
125b975746
1335559348
142068db70
1513c50a56
hexcc778e6

214399206 has 144 divisors (see below), whose sum is σ = 582603840. Its totient is φ = 56609280.

The previous prime is 214399183. The next prime is 214399231. The reversal of 214399206 is 602993412.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1184436 + ... + 1184616.

It is an arithmetic number, because the mean of its divisors is an integer number (4045860).

Almost surely, 2214399206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214399206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291301920).

214399206 is an abundant number, since it is smaller than the sum of its proper divisors (368204634).

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

214399206 is a wasteful number, since it uses less digits than its factorization.

214399206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 214399206 is about 14642.3770611196. The cubic root of 214399206 is about 598.5141065722.

The spelling of 214399206 in words is "two hundred fourteen million, three hundred ninety-nine thousand, two hundred six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 79 98 102 119 126 147 153 158 181 237 238 294 306 357 362 441 474 543 553 711 714 833 882 1071 1086 1106 1267 1343 1422 1629 1659 1666 2142 2499 2534 2686 3077 3258 3318 3801 3871 4029 4977 4998 6154 7497 7602 7742 8058 8869 9231 9401 9954 11403 11613 12087 14299 14994 17738 18462 18802 21539 22806 23226 24174 26607 27693 28203 28598 34839 42897 43078 53214 55386 56406 64617 65807 69678 79821 84609 85794 100093 128691 129234 131614 150773 159642 169218 193851 197421 200186 243083 257382 300279 301546 387702 394842 452319 486166 592263 600558 700651 729249 900837 904638 1184526 1356957 1401302 1458498 1701581 1801674 2101953 2187747 2713914 3403162 4203906 4375494 5104743 6305859 10209486 11911067 12611718 15314229 23822134 30628458 35733201 71466402 107199603 214399206