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267284225 = 52132772969
BaseRepresentation
bin11111110111001…
…10111100000001
3200121221110000202
433323212330001
51021411043400
642304454545
76423610205
oct1773467401
9617843022
10267284225
1112796965a
127561a455
13434b4960
14276d8b05
15186ea4d5
hexfee6f01

267284225 has 24 divisors (see below), whose sum is σ = 358336440. Its totient is φ = 196600320.

The previous prime is 267284221. The next prime is 267284233. The reversal of 267284225 is 522482762.

It can be written as a sum of positive squares in 12 ways, for example, as 242642929 + 24641296 = 15577^2 + 4964^2 .

It is not a de Polignac number, because 267284225 - 22 = 267284221 is a prime.

It is not an unprimeable number, because it can be changed into a prime (267284221) 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 23 ways as a sum of consecutive naturals, for example, 88541 + ... + 91509.

It is an arithmetic number, because the mean of its divisors is an integer number (14930685).

Almost surely, 2267284225 is an apocalyptic number.

267284225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

267284225 is a deficient number, since it is larger than the sum of its proper divisors (91052215).

267284225 is a wasteful number, since it uses less digits than its factorization.

267284225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269 (or 3264 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 267284225 is about 16348.8294688030. The cubic root of 267284225 is about 644.1560783501.

The spelling of 267284225 in words is "two hundred sixty-seven million, two hundred eighty-four thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 277 325 1385 2969 3601 6925 14845 18005 38597 74225 90025 192985 822413 964925 4112065 10691369 20560325 53456845 267284225