[go: up one dir, main page]

Search a number
-
+
255516228 = 223311375813
BaseRepresentation
bin11110011101011…
…01111001000100
3122210210120101000
433032231321010
51010403004403
641204333300
76221565162
oct1716557104
9583716330
10255516228
11121261140
12716a4230
1340c24446
1425d14232
15176737a3
hexf3ade44

255516228 has 96 divisors (see below), whose sum is σ = 742331520. Its totient is φ = 75323520.

The previous prime is 255516227. The next prime is 255516259. The reversal of 255516228 is 822615552.

It is a happy number.

255516228 is a `hidden beast` number, since 25 + 5 + 5 + 1 + 622 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 255516192 and 255516201.

It is not an unprimeable number, because it can be changed into a prime (255516221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41050 + ... + 46862.

It is an arithmetic number, because the mean of its divisors is an integer number (7732620).

Almost surely, 2255516228 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255516228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371165760).

255516228 is an abundant number, since it is smaller than the sum of its proper divisors (486815292).

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

255516228 is a wasteful number, since it uses less digits than its factorization.

255516228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5874 (or 5866 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 255516228 is about 15984.8749760516. The cubic root of 255516228 is about 634.5601997328.

The spelling of 255516228 in words is "two hundred fifty-five million, five hundred sixteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 37 44 54 66 74 99 108 111 132 148 198 222 297 333 396 407 444 594 666 814 999 1188 1221 1332 1628 1998 2442 3663 3996 4884 5813 7326 10989 11626 14652 17439 21978 23252 34878 43956 52317 63943 69756 104634 127886 156951 191829 209268 215081 255772 313902 383658 430162 575487 627804 645243 767316 860324 1150974 1290486 1726461 1935729 2301948 2365891 2580972 3452922 3871458 4731782 5807187 6905844 7097673 7742916 9463564 11614374 14195346 21293019 23228748 28390692 42586038 63879057 85172076 127758114 255516228