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21682206 = 23272133161
BaseRepresentation
bin101001010110…
…1100000011110
31111210120101200
41102231200132
521022312311
62052420330
7352203300
oct122554036
944716350
1021682206
111126a187
1273176a6
134652010
142c45970
151d84556
hex14ad81e

21682206 has 144 divisors (see below), whose sum is σ = 61746048. Its totient is φ = 5443200.

The previous prime is 21682201. The next prime is 21682223. The reversal of 21682206 is 60228612.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 21682206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21682201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 355416 + ... + 355476.

It is an arithmetic number, because the mean of its divisors is an integer number (428792).

Almost surely, 221682206 is an apocalyptic number.

21682206 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 21682206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30873024).

21682206 is an abundant number, since it is smaller than the sum of its proper divisors (40063842).

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

21682206 is a wasteful number, since it uses less digits than its factorization.

21682206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 21682206 is about 4656.4155742373. The cubic root of 21682206 is about 278.8481850289.

The spelling of 21682206 in words is "twenty-one million, six hundred eighty-two thousand, two hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 31 39 42 49 61 62 63 78 91 93 98 117 122 126 147 182 183 186 217 234 273 279 294 366 403 427 434 441 546 549 558 637 651 793 806 819 854 882 1098 1209 1274 1281 1302 1519 1586 1638 1891 1911 1953 2379 2418 2562 2821 2989 3038 3627 3782 3822 3843 3906 4557 4758 5551 5642 5673 5733 5978 7137 7254 7686 8463 8967 9114 11102 11346 11466 13237 13671 14274 16653 16926 17019 17934 19747 24583 25389 26474 26901 27342 33306 34038 38857 39494 39711 49166 49959 50778 53802 59241 73749 77714 79422 92659 99918 116571 118482 119133 147498 172081 177723 185318 221247 233142 238266 277977 344162 349713 355446 442494 516243 555954 699426 833931 1032486 1204567 1548729 1667862 2409134 3097458 3613701 7227402 10841103 21682206