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286134225 = 352131761283
BaseRepresentation
bin10001000011100…
…000111111010001
3201221102010100220
4101003200333101
51041222243400
644220503253
710043046366
oct2103407721
9657363326
10286134225
11137573973
127b9aab29
13473847c0
142a00446d
151a1c07a0
hex110e0fd1

286134225 has 96 divisors (see below), whose sum is σ = 550214784. Its totient is φ = 129945600.

The previous prime is 286134223. The next prime is 286134241. The reversal of 286134225 is 522431682.

It is not a de Polignac number, because 286134225 - 21 = 286134223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (286134221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1010934 + ... + 1011216.

It is an arithmetic number, because the mean of its divisors is an integer number (5731404).

Almost surely, 2286134225 is an apocalyptic number.

286134225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

286134225 is a deficient number, since it is larger than the sum of its proper divisors (264080559).

286134225 is a wasteful number, since it uses less digits than its factorization.

286134225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 382 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 286134225 is about 16915.5025050987. The cubic root of 286134225 is about 658.9562819323.

The spelling of 286134225 in words is "two hundred eighty-six million, one hundred thirty-four thousand, two hundred twenty-five".

Divisors: 1 3 5 13 15 17 25 39 51 61 65 75 85 183 195 221 255 283 305 325 425 663 793 849 915 975 1037 1105 1275 1415 1525 2379 3111 3315 3679 3965 4245 4575 4811 5185 5525 7075 11037 11895 13481 14433 15555 16575 17263 18395 19825 21225 24055 25925 40443 51789 55185 59475 62543 67405 72165 77775 86315 91975 120275 187629 202215 224419 258945 275925 293471 312715 337025 360825 431575 673257 880413 938145 1011075 1122095 1294725 1467355 1563575 3366285 3815123 4402065 4690725 5610475 7336775 11445369 16831425 19075615 22010325 57226845 95378075 286134225