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255564234 = 23441109353
BaseRepresentation
bin11110011101110…
…01100111001010
3122210220000020000
433032321213022
51010411023414
641205343430
76222155142
oct1716714712
9583800200
10255564234
11121294212
1271707b76
1340c40253
1425d27922
1517682b09
hexf3b99ca

255564234 has 80 divisors (see below), whose sum is σ = 593679240. Its totient is φ = 82114560.

The previous prime is 255564233. The next prime is 255564241. The reversal of 255564234 is 432465552.

255564234 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 642 + 3 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 169130025 + 86434209 = 13005^2 + 9297^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (255564233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 723802 + ... + 724154.

Almost surely, 2255564234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255564234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296839620).

255564234 is an abundant number, since it is smaller than the sum of its proper divisors (338115006).

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

255564234 is a wasteful number, since it uses less digits than its factorization.

255564234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 508 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 255564234 is about 15986.3765125184. The cubic root of 255564234 is about 634.5999373125.

The spelling of 255564234 in words is "two hundred fifty-five million, five hundred sixty-four thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 109 123 162 218 246 327 353 369 654 706 738 981 1059 1107 1962 2118 2214 2943 3177 3321 4469 5886 6354 6642 8829 8938 9531 13407 14473 17658 19062 26814 28593 28946 38477 40221 43419 57186 76954 80442 86838 115431 120663 130257 230862 241326 260514 346293 361989 390771 692586 723978 781542 1038879 1172313 1577557 2077758 2344626 3116637 3155114 4732671 6233274 9465342 14198013 28396026 42594039 85188078 127782117 255564234