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216258 = 23719271
BaseRepresentation
bin110100110011000010
3101222122120
4310303002
523410013
64345110
71560330
oct646302
9358576
10216258
11138529
12a5196
1377583
1458b50
1544123
hex34cc2

216258 has 32 divisors (see below), whose sum is σ = 522240. Its totient is φ = 58320.

The previous prime is 216233. The next prime is 216259. The reversal of 216258 is 852612.

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 216258.

It is not an unprimeable number, because it can be changed into a prime (216259) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 663 + ... + 933.

It is an arithmetic number, because the mean of its divisors is an integer number (16320).

2216258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261120).

216258 is an abundant number, since it is smaller than the sum of its proper divisors (305982).

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

216258 is a wasteful number, since it uses less digits than its factorization.

216258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302.

The product of its digits is 960, while the sum is 24.

The square root of 216258 is about 465.0354825172. The cubic root of 216258 is about 60.0238793839.

It can be divided in two parts, 216 and 258, that added together give a palindrome (474).

The spelling of 216258 in words is "two hundred sixteen thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 271 399 542 798 813 1626 1897 3794 5149 5691 10298 11382 15447 30894 36043 72086 108129 216258