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285145224 = 233713137953
BaseRepresentation
bin10000111111101…
…111100010001000
3201212112212201020
4100333233202020
51040444121344
644143352440
710031460120
oct2077574210
9655485636
10285145224
11136a58911
127b5b2720
13470c95b0
1429c27c80
151a077719
hex10fef888

285145224 has 128 divisors (see below), whose sum is σ = 884701440. Its totient is φ = 74575872.

The previous prime is 285145219. The next prime is 285145243. The reversal of 285145224 is 422541582.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 298732 + ... + 299684.

It is an arithmetic number, because the mean of its divisors is an integer number (6911730).

Almost surely, 2285145224 is an apocalyptic number.

285145224 is a gapful number since it is divisible by the number (24) 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 285145224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442350720).

285145224 is an abundant number, since it is smaller than the sum of its proper divisors (599556216).

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

285145224 is a wasteful number, since it uses less digits than its factorization.

285145224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1115 counting only the distinct ones).

The product of its digits is 25600, while the sum is 33.

The square root of 285145224 is about 16886.2436320219. The cubic root of 285145224 is about 658.1961949172.

The spelling of 285145224 in words is "two hundred eighty-five million, one hundred forty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 137 156 168 182 273 274 312 364 411 546 548 728 822 953 959 1092 1096 1644 1781 1906 1918 2184 2859 2877 3288 3562 3812 3836 5343 5718 5754 6671 7124 7624 7672 10686 11436 11508 12389 12467 13342 14248 20013 21372 22872 23016 24778 24934 26684 37167 37401 40026 42744 49556 49868 53368 74334 74802 80052 86723 99112 99736 130561 148668 149604 160104 173446 260169 261122 297336 299208 346892 391683 520338 522244 693784 783366 913927 1040676 1044488 1566732 1697293 1827854 2081352 2741781 3133464 3394586 3655708 5091879 5483562 6789172 7311416 10183758 10967124 11881051 13578344 20367516 21934248 23762102 35643153 40735032 47524204 71286306 95048408 142572612 285145224