Search a number
-
+
36208161 = 3311211083
BaseRepresentation
bin1000101000011…
…1111000100001
32112010120021000
42022013320201
533232130121
63332022213
7616523103
oct212077041
975116230
1036208161
1119490800
1210161969
137669962
144b47573
1532a3526
hex2287e21

36208161 has 24 divisors (see below), whose sum is σ = 58966880. Its totient is φ = 21942360.

The previous prime is 36208103. The next prime is 36208171. The reversal of 36208161 is 16180263.

It is not a de Polignac number, because 36208161 - 26 = 36208097 is a prime.

It is a super-2 number, since 2×362081612 = 2622061846003842, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36208171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2275 + ... + 8808.

Almost surely, 236208161 is an apocalyptic number.

It is an amenable number.

36208161 is a deficient number, since it is larger than the sum of its proper divisors (22758719).

36208161 is a wasteful number, since it uses less digits than its factorization.

36208161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11114 (or 11097 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 36208161 is about 6017.3217464251. The cubic root of 36208161 is about 330.8279211314.

It can be divided in two parts, 3620 and 8161, that added together give a triangular number (11781 = T153).

The spelling of 36208161 in words is "thirty-six million, two hundred eight thousand, one hundred sixty-one".

Divisors: 1 3 9 11 27 33 99 121 297 363 1089 3267 11083 33249 99747 121913 299241 365739 1097217 1341043 3291651 4023129 12069387 36208161