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286794225 = 325211292
BaseRepresentation
bin10001000110000…
…010000111110001
3201222122122201100
4101012002013301
51041404403400
644242555013
710051465524
oct2106020761
9658578640
10286794225
11137984823
1280068a69
1347556033
142a136bbb
151a2a1100
hex111821f1

286794225 has 27 divisors (see below), whose sum is σ = 514135713. Its totient is φ = 152821440.

The previous prime is 286794203. The next prime is 286794229. The reversal of 286794225 is 522497682.

The square root of 286794225 is 16935.

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 99980001 + 186814224 = 9999^2 + 13668^2 .

It is not a de Polignac number, because 286794225 - 213 = 286786033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (286794229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 253461 + ... + 254589.

Almost surely, 2286794225 is an apocalyptic number.

286794225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

286794225 is the 16935-th square number.

286794225 is the 8468-th centered octagonal number.

It is an amenable number.

286794225 is a deficient number, since it is larger than the sum of its proper divisors (227341488).

286794225 is an equidigital number, since it uses as much as digits as its factorization.

286794225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2274 (or 1137 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The cubic root of 286794225 is about 659.4625445483.

The spelling of 286794225 in words is "two hundred eighty-six million, seven hundred ninety-four thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 1129 3387 5645 10161 16935 28225 50805 84675 254025 1274641 3823923 6373205 11471769 19119615 31866025 57358845 95598075 286794225