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283417225 = 5272132372
BaseRepresentation
bin10000111001001…
…001101010001001
3201202022002100021
4100321021222021
51040023322400
644042340441
710011002200
oct2071115211
9652262307
10283417225
11135a88613
127aaba721
1346942c00
14298d8237
1519d3571a
hex10e49a89

283417225 has 81 divisors (see below), whose sum is σ = 454968927. Its totient is φ = 174545280.

The previous prime is 283417177. The next prime is 283417237. The reversal of 283417225 is 522714382.

It is a happy number.

The square root of 283417225 is 16835.

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

It can be written as a sum of positive squares in 13 ways, for example, as 163558521 + 119858704 = 12789^2 + 10948^2 .

It is not a de Polignac number, because 283417225 - 29 = 283416713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7659907 + ... + 7659943.

Almost surely, 2283417225 is an apocalyptic number.

283417225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

283417225 is the 16835-th square number.

283417225 is the 8418-th centered octagonal number.

It is an amenable number.

283417225 is a deficient number, since it is larger than the sum of its proper divisors (171551702).

283417225 is a wasteful number, since it uses less digits than its factorization.

283417225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 62 counting only the distinct ones).

The product of its digits is 26880, while the sum is 34.

The cubic root of 283417225 is about 656.8639291870.

The spelling of 283417225 in words is "two hundred eighty-three million, four hundred seventeen thousand, two hundred twenty-five".

Divisors: 1 5 7 13 25 35 37 49 65 91 169 175 185 245 259 325 455 481 637 845 925 1183 1225 1295 1369 1813 2275 2405 3185 3367 4225 5915 6253 6475 6845 8281 9065 9583 12025 15925 16835 17797 23569 29575 31265 34225 41405 43771 45325 47915 67081 84175 88985 117845 124579 156325 207025 218855 231361 239575 306397 335405 444925 589225 622895 872053 1094275 1156805 1531985 1619527 1677025 3114475 4360265 5784025 7659925 8097635 11336689 21801325 40488175 56683445 283417225