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284796225 = 325271931307
BaseRepresentation
bin10000111110011…
…010010101000001
3201211220010222100
4100332122111001
51040401434400
644132101013
710025504460
oct2076322501
9654803870
10284796225
1113683a68a
127b464769
134700679c
1429b769d7
151a009100
hex10f9a541

284796225 has 144 divisors (see below), whose sum is σ = 635514880. Its totient is φ = 118972800.

The previous prime is 284796221. The next prime is 284796241. The reversal of 284796225 is 522697482.

It is not a de Polignac number, because 284796225 - 22 = 284796221 is a prime.

It is a super-2 number, since 2×2847962252 = 162217779548501250, which contains 22 as substring.

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 (284796221) 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 143 ways as a sum of consecutive naturals, for example, 927522 + ... + 927828.

Almost surely, 2284796225 is an apocalyptic number.

284796225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

284796225 is an abundant number, since it is smaller than the sum of its proper divisors (350718655).

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

284796225 is a wasteful number, since it uses less digits than its factorization.

284796225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 372 counting only the distinct ones).

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

The square root of 284796225 is about 16875.9066423111. The cubic root of 284796225 is about 657.9275556709.

The spelling of 284796225 in words is "two hundred eighty-four million, seven hundred ninety-six thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 19 21 25 31 35 45 57 63 75 93 95 105 133 155 171 175 217 225 279 285 307 315 399 465 475 525 589 651 665 775 855 921 1085 1197 1395 1425 1535 1575 1767 1953 1995 2149 2325 2763 2945 3255 3325 4123 4275 4605 5301 5425 5833 5985 6447 6975 7675 8835 9517 9765 9975 10745 12369 13815 14725 16275 17499 19341 20615 23025 26505 28551 29165 29925 32235 37107 40831 44175 47585 48825 52497 53725 61845 66619 69075 85653 87495 96705 103075 122493 132525 142755 145825 161175 180823 185535 199857 204155 237925 262485 309225 333095 367479 428265 437475 483525 542469 599571 612465 713775 904115 927675 999285 1020775 1265761 1312425 1627407 1665475 1837395 2141325 2712345 2997855 3062325 3797283 4520575 4996425 6328805 8137035 9186975 11391849 13561725 14989275 18986415 31644025 40685175 56959245 94932075 284796225