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216016 = 2423587
BaseRepresentation
bin110100101111010000
3101222022121
4310233100
523403031
64344024
71556533
oct645720
9358277
10216016
11138329
12a5014
1377428
1458a1a
1544011
hex34bd0

216016 has 20 divisors (see below), whose sum is σ = 437472. Its totient is φ = 103136.

The previous prime is 215983. The next prime is 216023. The reversal of 216016 is 610612.

216016 = T73 + T74 + ... + T118.

216016 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 (16).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75 + ... + 661.

216016 is a Friedman number, since it can be written as 60^(2+1)+16, using all its digits and the basic arithmetic operations.

2216016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218736).

216016 is an abundant number, since it is smaller than the sum of its proper divisors (221456).

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

216016 is a wasteful number, since it uses less digits than its factorization.

216016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 216016 is about 464.7752144855. The cubic root of 216016 is about 60.0014814449.

Subtracting from 216016 its sum of digits (16), we obtain a cube (216000 = 603).

Adding to 216016 its reverse (610612), we get a palindrome (826628).

The spelling of 216016 in words is "two hundred sixteen thousand, sixteen".

Divisors: 1 2 4 8 16 23 46 92 184 368 587 1174 2348 4696 9392 13501 27002 54004 108008 216016