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216150 = 235211131
BaseRepresentation
bin110100110001010110
3101222111120
4310301112
523404100
64344410
71560114
oct646126
9358446
10216150
11138440
12a5106
13774cc
1458ab4
15440a0
hex34c56

216150 has 48 divisors (see below), whose sum is σ = 589248. Its totient is φ = 52000.

The previous prime is 216149. The next prime is 216157. The reversal of 216150 is 51612.

216150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1585 + ... + 1715.

It is an arithmetic number, because the mean of its divisors is an integer number (12276).

2216150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294624).

216150 is an abundant number, since it is smaller than the sum of its proper divisors (373098).

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

216150 is a wasteful number, since it uses less digits than its factorization.

216150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 216150 is about 464.9193478443. The cubic root of 216150 is about 60.0138856751.

Adding to 216150 its reverse (51612), we get a palindrome (267762).

It can be divided in two parts, 2161 and 50, that added together give a triangular number (2211 = T66).

The spelling of 216150 in words is "two hundred sixteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 131 150 165 262 275 330 393 550 655 786 825 1310 1441 1650 1965 2882 3275 3930 4323 6550 7205 8646 9825 14410 19650 21615 36025 43230 72050 108075 216150