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268228240 = 24574611039
BaseRepresentation
bin11111111110011…
…01011010010000
3200200201101222021
433333031122100
51022131300430
642341021224
76434621350
oct1777153220
9620641867
10268228240
11128453935
12759b4814
1343755547
14278a2b60
151883507a
hexffcd690

268228240 has 80 divisors (see below), whose sum is σ = 714954240. Its totient is φ = 91676160.

The previous prime is 268228237. The next prime is 268228243. The reversal of 268228240 is 42822862.

It is an interprime number because it is at equal distance from previous prime (268228237) and next prime (268228243).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 268228196 and 268228205.

It is not an unprimeable number, because it can be changed into a prime (268228243) 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 15 ways as a sum of consecutive naturals, for example, 257641 + ... + 258679.

It is an arithmetic number, because the mean of its divisors is an integer number (8936928).

Almost surely, 2268228240 is an apocalyptic number.

268228240 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 268228240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357477120).

268228240 is an abundant number, since it is smaller than the sum of its proper divisors (446726000).

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

268228240 is a wasteful number, since it uses less digits than its factorization.

268228240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1514 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 34.

The square root of 268228240 is about 16377.6750486753. The cubic root of 268228240 is about 644.9135472935.

The spelling of 268228240 in words is "two hundred sixty-eight million, two hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 461 560 922 1039 1844 2078 2305 3227 3688 4156 4610 5195 6454 7273 7376 8312 9220 10390 12908 14546 16135 16624 18440 20780 25816 29092 32270 36365 36880 41560 51632 58184 64540 72730 83120 116368 129080 145460 258160 290920 478979 581840 957958 1915916 2394895 3352853 3831832 4789790 6705706 7663664 9579580 13411412 16764265 19159160 26822824 33528530 38318320 53645648 67057060 134114120 268228240