Search a number
-
+
256192101 = 321123591907
BaseRepresentation
bin11110100010100…
…10111001100101
3122212001220111100
433101102321211
51011041121401
641231030313
76230411514
oct1721227145
9585056440
10256192101
11121682a10
127196b399
13410ccc79
142604c67b
1517758b86
hexf452e65

256192101 has 48 divisors (see below), whose sum is σ = 428613120. Its totient is φ = 145923360.

The previous prime is 256192099. The next prime is 256192117. The reversal of 256192101 is 101291652.

256192101 is a `hidden beast` number, since 2 + 561 + 92 + 10 + 1 = 666.

It is not a de Polignac number, because 256192101 - 21 = 256192099 is a prime.

It is a super-2 number, since 2×2561921012 = 131268785229588402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256192141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133390 + ... + 135296.

It is an arithmetic number, because the mean of its divisors is an integer number (8929440).

Almost surely, 2256192101 is an apocalyptic number.

It is an amenable number.

256192101 is a deficient number, since it is larger than the sum of its proper divisors (172421019).

256192101 is a wasteful number, since it uses less digits than its factorization.

256192101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2006 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 256192101 is about 16006.0020304884. The cubic root of 256192101 is about 635.1192046862.

The spelling of 256192101 in words is "two hundred fifty-six million, one hundred ninety-two thousand, one hundred one".

Divisors: 1 3 9 11 23 33 59 69 99 177 207 253 531 649 759 1357 1907 1947 2277 4071 5721 5841 12213 14927 17163 20977 43861 44781 62931 112513 131583 134343 188793 337539 394749 482471 1012617 1237643 1447413 2587799 3712929 4342239 7763397 11138787 23290191 28465789 85397367 256192101