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216144 = 24321979
BaseRepresentation
bin110100110001010000
3101222111100
4310301100
523404034
64344400
71560105
oct646120
9358440
10216144
11138435
12a5100
13774c6
1458aac
1544099
hex34c50

216144 has 60 divisors (see below), whose sum is σ = 644800. Its totient is φ = 67392.

The previous prime is 216133. The next prime is 216149. The reversal of 216144 is 441612.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 14.

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216149) by changing a digit.

216144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2697 + ... + 2775.

2216144 is an apocalyptic number.

216144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322400).

216144 is an abundant number, since it is smaller than the sum of its proper divisors (428656).

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

216144 is a wasteful number, since it uses less digits than its factorization.

216144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 103 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 216144 is about 464.9128950675. The cubic root of 216144 is about 60.0133303715.

Adding to 216144 its reverse (441612), we get a palindrome (657756).

The spelling of 216144 in words is "two hundred sixteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 79 114 144 152 158 171 228 237 304 316 342 456 474 632 684 711 912 948 1264 1368 1422 1501 1896 2736 2844 3002 3792 4503 5688 6004 9006 11376 12008 13509 18012 24016 27018 36024 54036 72048 108072 216144