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144216 = 23322003
BaseRepresentation
bin100011001101011000
321022211100
4203031120
514103331
63031400
71140312
oct431530
9238740
10144216
1199396
126b560
1350847
143a7b2
152cae6
hex23358

144216 has 24 divisors (see below), whose sum is σ = 390780. Its totient is φ = 48048.

The previous prime is 144203. The next prime is 144223. The reversal of 144216 is 612441.

It is a tau number, because it is divible by the number of its divisors (24).

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.

144216 is a modest number, since divided by 216 gives 144 as remainder.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

144216 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 930 + ... + 1073.

2144216 is an apocalyptic number.

It is an amenable number.

144216 is an abundant number, since it is smaller than the sum of its proper divisors (246564).

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

144216 is a wasteful number, since it uses less digits than its factorization.

144216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 2008 counting only the distinct ones).

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

The square root of 144216 is about 379.7578175627. The cubic root of 144216 is about 52.4410222053.

Adding to 144216 its reverse (612441), we get a palindrome (756657).

The spelling of 144216 in words is "one hundred forty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 2003 4006 6009 8012 12018 16024 18027 24036 36054 48072 72108 144216