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159201 = 3272192
BaseRepresentation
bin100110110111100001
322002101100
4212313201
520043301
63225013
71232100
oct466741
9262340
10159201
11a9679
1278169
1357603
1442037
1532286
hex26de1

159201 has 27 divisors (see below), whose sum is σ = 282321. Its totient is φ = 86184.

The previous prime is 159199. The next prime is 159209. The reversal of 159201 is 102951.

159201 = T398 + T399.

The square root of 159201 is 399.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 159201 - 21 = 159199 is a prime.

It is a Curzon number.

159201 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 159201.

It is not an unprimeable number, because it can be changed into a prime (159209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8370 + ... + 8388.

159201 is a Friedman number, since it can be written as (50*(9-1)-1)^2, using all its digits and the basic arithmetic operations.

2159201 is an apocalyptic number.

159201 is the 399-th square number.

159201 is the 200-th centered octagonal number.

It is an amenable number.

159201 is a deficient number, since it is larger than the sum of its proper divisors (123120).

159201 is a wasteful number, since it uses less digits than its factorization.

159201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The cubic root of 159201 is about 54.1978340025.

It can be divided in two parts, 15 and 9201, that added together give a square (9216 = 962).

The spelling of 159201 in words is "one hundred fifty-nine thousand, two hundred one".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 361 399 441 931 1083 1197 2527 2793 3249 7581 8379 17689 22743 53067 159201