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216601 = 7112997
BaseRepresentation
bin110100111000011001
3102000010021
4310320121
523412401
64350441
71561330
oct647031
9360107
10216601
11138810
12a5421
1377788
1458d17
15442a1
hex34e19

216601 has 16 divisors (see below), whose sum is σ = 282240. Its totient is φ = 161280.

The previous prime is 216577. The next prime is 216607. The reversal of 216601 is 106612.

216601 = T133 + T134 + ... + T153.

216601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 216601 - 25 = 216569 is a prime.

It is a plaindrome in base 13.

It is a nialpdrome in base 12.

It is a zygodrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (216607) 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, 2185 + ... + 2281.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2216601 is an apocalyptic number.

It is an amenable number.

216601 is a deficient number, since it is larger than the sum of its proper divisors (65639).

216601 is a wasteful number, since it uses less digits than its factorization.

216601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144.

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

The square root of 216601 is about 465.4041254652. The cubic root of 216601 is about 60.0555966158.

The spelling of 216601 in words is "two hundred sixteen thousand, six hundred one".

Divisors: 1 7 11 29 77 97 203 319 679 1067 2233 2813 7469 19691 30943 216601