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216294 = 23134759
BaseRepresentation
bin110100110011100110
3101222200220
4310303212
523410134
64345210
71560411
oct646346
9358626
10216294
11138561
12a5206
13775b0
1458b78
1544149
hex34ce6

216294 has 32 divisors (see below), whose sum is σ = 483840. Its totient is φ = 64032.

The previous prime is 216289. The next prime is 216317. The reversal of 216294 is 492612.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 216294.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3637 + ... + 3695.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2216294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241920).

216294 is an abundant number, since it is smaller than the sum of its proper divisors (267546).

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

216294 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (216293) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (124).

216294 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124.

The product of its digits is 864, while the sum is 24.

The square root of 216294 is about 465.0741876303. The cubic root of 216294 is about 60.0272098807.

It can be divided in two parts, 216 and 294, that multiplied together give a square (63504 = 2522).

The spelling of 216294 in words is "two hundred sixteen thousand, two hundred ninety-four".

Divisors: 1 2 3 6 13 26 39 47 59 78 94 118 141 177 282 354 611 767 1222 1534 1833 2301 2773 3666 4602 5546 8319 16638 36049 72098 108147 216294