Search a number
-
+
1768326228 = 223441133117
BaseRepresentation
bin110100101100110…
…1000010001010100
311120020102021120000
41221121220101110
512110142414403
6451245211300
761551345024
oct15131502124
94506367500
101768326228
118281a0739
12414260b30
132224802a6
1412abcda84
15a539d7a3
hex69668454

1768326228 has 60 divisors (see below), whose sum is σ = 4735539732. Its totient is φ = 575061120.

The previous prime is 1768326221. The next prime is 1768326271. The reversal of 1768326228 is 8226238671.

1768326228 is a `hidden beast` number, since 17 + 6 + 8 + 3 + 2 + 622 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 191600964 + 1576725264 = 13842^2 + 39708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1768326221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53275 + ... + 79842.

Almost surely, 21768326228 is an apocalyptic number.

1768326228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1768326228 is an abundant number, since it is smaller than the sum of its proper divisors (2967213504).

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

1768326228 is a wasteful number, since it uses less digits than its factorization.

1768326228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133174 (or 133163 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 1768326228 is about 42051.4711752157. The cubic root of 1768326228 is about 1209.2630870301.

The spelling of 1768326228 in words is "one billion, seven hundred sixty-eight million, three hundred twenty-six thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 2214 3321 4428 6642 13284 133117 266234 399351 532468 798702 1198053 1597404 2396106 3594159 4792212 5457797 7188318 10782477 10915594 14376636 16373391 21564954 21831188 32746782 43129908 49120173 65493564 98240346 147360519 196480692 294721038 442081557 589442076 884163114 1768326228