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286117225 = 521721992
BaseRepresentation
bin10001000011011…
…100110101101001
3201221101021001021
4101003130311221
51041221222400
644220252441
710042646002
oct2103346551
9657337037
10286117225
11137562119
127b9a1121
1347379b44
1429ddc1a9
151a1ba71a
hex110dcd69

286117225 has 27 divisors (see below), whose sum is σ = 378786117. Its totient is φ = 214346880.

The previous prime is 286117213. The next prime is 286117283. The reversal of 286117225 is 522711682.

286117225 = 3952 + 3962 + ... + 9722.

It is a happy number.

The square root of 286117225 is 16915.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6692569 + 279424656 = 2587^2 + 16716^2 .

It is not a de Polignac number, because 286117225 - 29 = 286116713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1437676 + ... + 1437874.

Almost surely, 2286117225 is an apocalyptic number.

286117225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

286117225 is the 16915-th square number.

286117225 is the 8458-th centered octagonal number.

It is an amenable number.

286117225 is a deficient number, since it is larger than the sum of its proper divisors (92668892).

286117225 is an equidigital number, since it uses as much as digits as its factorization.

286117225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 221 counting only the distinct ones).

The product of its digits is 13440, while the sum is 34.

The cubic root of 286117225 is about 658.9432315551.

The spelling of 286117225 in words is "two hundred eighty-six million, one hundred seventeen thousand, two hundred twenty-five".

Divisors: 1 5 17 25 85 199 289 425 995 1445 3383 4975 7225 16915 39601 57511 84575 198005 287555 673217 990025 1437775 3366085 11444689 16830425 57223445 286117225