Search a number
-
+
36220041 = 3411135359
BaseRepresentation
bin1000101000101…
…0110010001001
32112011011120000
42022022302021
533233020131
63332153213
7616602534
oct212126211
975134500
1036220041
1119499720
1210168809
1376721a0
144b4ba1b
1532a6ce6
hex228ac89

36220041 has 80 divisors (see below), whose sum is σ = 65862720. Its totient is φ = 19543680.

The previous prime is 36220007. The next prime is 36220069. The reversal of 36220041 is 14002263.

It is a happy number.

36220041 is a `hidden beast` number, since 3 + 622 + 0 + 0 + 41 = 666.

It is not a de Polignac number, because 36220041 - 26 = 36219977 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 36219996 and 36220023.

It is not an unprimeable number, because it can be changed into a prime (36220141) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 613870 + ... + 613928.

It is an arithmetic number, because the mean of its divisors is an integer number (823284).

Almost surely, 236220041 is an apocalyptic number.

It is an amenable number.

36220041 is a deficient number, since it is larger than the sum of its proper divisors (29642679).

36220041 is a wasteful number, since it uses less digits than its factorization.

36220041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 36220041 is about 6018.3088156059. The cubic root of 36220041 is about 330.8640990338.

The spelling of 36220041 in words is "thirty-six million, two hundred twenty thousand, forty-one".

Divisors: 1 3 9 11 13 27 33 39 53 59 81 99 117 143 159 177 297 351 429 477 531 583 649 689 767 891 1053 1287 1431 1593 1749 1947 2067 2301 3127 3861 4293 4779 5247 5841 6201 6903 7579 8437 9381 11583 15741 17523 18603 20709 22737 25311 28143 34397 40651 47223 52569 55809 62127 68211 75933 84429 103191 121953 204633 227799 253287 309573 365859 447161 613899 683397 928719 1097577 1341483 2786157 3292731 4024449 12073347 36220041