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268353228 = 2231113179199
BaseRepresentation
bin11111111111010…
…11111011001100
3200200221202102110
433333223323030
51022144300403
642343424020
76435651633
oct1777537314
9620852373
10268353228
11128529830
1275a55010
134379a3c0
14278d651a
151885c103
hexffebecc

268353228 has 96 divisors (see below), whose sum is σ = 778982400. Its totient is φ = 70640640.

The previous prime is 268353227. The next prime is 268353247. The reversal of 268353228 is 822353862.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (268353227) 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, 24573 + ... + 33771.

It is an arithmetic number, because the mean of its divisors is an integer number (8114400).

Almost surely, 2268353228 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 268353228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389491200).

268353228 is an abundant number, since it is smaller than the sum of its proper divisors (510629172).

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

268353228 is a wasteful number, since it uses less digits than its factorization.

268353228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9247 (or 9245 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 268353228 is about 16381.4904083847. The cubic root of 268353228 is about 645.0137032123.

The spelling of 268353228 in words is "two hundred sixty-eight million, three hundred fifty-three thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 13 17 22 26 33 34 39 44 51 52 66 68 78 102 132 143 156 187 204 221 286 374 429 442 561 572 663 748 858 884 1122 1326 1716 2244 2431 2652 4862 7293 9199 9724 14586 18398 27597 29172 36796 55194 101189 110388 119587 156383 202378 239174 303567 312766 358761 404756 469149 478348 607134 625532 717522 938298 1214268 1315457 1435044 1720213 1876596 2032979 2630914 3440426 3946371 4065958 5160639 5261828 6098937 6880852 7892742 8131916 10321278 12197874 15785484 20642556 22362769 24395748 44725538 67088307 89451076 134176614 268353228