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255243100 = 225271789241
BaseRepresentation
bin11110011011010…
…11001101011100
3122210021200201011
433031223031130
51010320234400
641154425004
76216346660
oct1715531534
9583250634
10255243100
11121094a12
1271592164
1340b5a028
1425c828a0
151761c8ba
hexf36b35c

255243100 has 144 divisors (see below), whose sum is σ = 680581440. Its totient is φ = 81100800.

The previous prime is 255243091. The next prime is 255243101. The reversal of 255243100 is 1342552.

255243100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2552431002 = 130298080195220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255243101) 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 47 ways as a sum of consecutive naturals, for example, 1058980 + ... + 1059220.

It is an arithmetic number, because the mean of its divisors is an integer number (4726260).

Almost surely, 2255243100 is an apocalyptic number.

255243100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255243100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340290720).

255243100 is an abundant number, since it is smaller than the sum of its proper divisors (425338340).

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

255243100 is a wasteful number, since it uses less digits than its factorization.

255243100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 255243100 is about 15976.3293656584. The cubic root of 255243100 is about 634.3340197750.

Adding to 255243100 its reverse (1342552), we get a palindrome (256585652).

The spelling of 255243100 in words is "two hundred fifty-five million, two hundred forty-three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 20 25 28 34 35 50 68 70 85 89 100 119 140 170 175 178 238 241 340 350 356 425 445 476 482 595 623 700 850 890 964 1190 1205 1246 1513 1687 1700 1780 2225 2380 2410 2492 2975 3026 3115 3374 4097 4450 4820 5950 6025 6052 6230 6748 7565 8194 8435 8900 10591 11900 12050 12460 15130 15575 16388 16870 20485 21182 21449 24100 28679 30260 31150 33740 37825 40970 42175 42364 42898 52955 57358 62300 75650 81940 84350 85796 102425 105910 107245 114716 143395 150143 151300 168700 204850 211820 214490 264775 286790 300286 364633 409700 428980 529550 536225 573580 600572 716975 729266 750715 1059100 1072450 1433950 1458532 1501430 1823165 2144900 2552431 2867900 3002860 3646330 3753575 5104862 7292660 7507150 9115825 10209724 12762155 15014300 18231650 25524310 36463300 51048620 63810775 127621550 255243100