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255350200 = 235271710729
BaseRepresentation
bin11110011100001…
…01010110111000
3122210111010121211
433032011112320
51010332201300
641201012504
76220304140
oct1716052670
9583433554
10255350200
11121158426
1271624134
1340b969c1
1425cad920
151763e4ba
hexf3855b8

255350200 has 96 divisors (see below), whose sum is σ = 718480800. Its totient is φ = 82391040.

The previous prime is 255350143. The next prime is 255350203. The reversal of 255350200 is 2053552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255350203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18436 + ... + 29164.

It is an arithmetic number, because the mean of its divisors is an integer number (7484175).

Almost surely, 2255350200 is an apocalyptic number.

255350200 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 255350200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359240400).

255350200 is an abundant number, since it is smaller than the sum of its proper divisors (463130600).

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

255350200 is a wasteful number, since it uses less digits than its factorization.

255350200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10769 (or 10760 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 22.

The square root of 255350200 is about 15979.6808478768. The cubic root of 255350200 is about 634.4227295496.

The spelling of 255350200 in words is "two hundred fifty-five million, three hundred fifty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 119 136 140 170 175 200 238 280 340 350 425 476 595 680 700 850 952 1190 1400 1700 2380 2975 3400 4760 5950 10729 11900 21458 23800 42916 53645 75103 85832 107290 150206 182393 214580 268225 300412 364786 375515 429160 536450 600824 729572 751030 911965 1072900 1276751 1459144 1502060 1823930 1877575 2145800 2553502 3004120 3647860 3755150 4559825 5107004 6383755 7295720 7510300 9119650 10214008 12767510 15020600 18239300 25535020 31918775 36478600 51070040 63837550 127675100 255350200