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442125225 = 32527392659
BaseRepresentation
bin11010010110100…
…100101110101001
31010210221021210100
4122112210232221
51401141001400
6111512140013
713646000553
oct3226445651
91123837710
10442125225
11207628253
12104097609
13707a0579
1442a0c4d3
1528c35100
hex1a5a4ba9

442125225 has 36 divisors (see below), whose sum is σ = 793265200. Its totient is φ = 235392480.

The previous prime is 442125199. The next prime is 442125253. The reversal of 442125225 is 522521244.

It is not a de Polignac number, because 442125225 - 29 = 442124713 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 164946 + ... + 167604.

Almost surely, 2442125225 is an apocalyptic number.

442125225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

442125225 is a deficient number, since it is larger than the sum of its proper divisors (351139975).

442125225 is a wasteful number, since it uses less digits than its factorization.

442125225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3406 counting only the distinct ones).

The product of its digits is 6400, while the sum is 27.

The square root of 442125225 is about 21026.7740036364. The cubic root of 442125225 is about 761.8130909502.

Adding to 442125225 its reverse (522521244), we get a palindrome (964646469).

It can be divided in two parts, 4421 and 25225, that added together give a triangular number (29646 = T243).

The spelling of 442125225 in words is "four hundred forty-two million, one hundred twenty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 739 2217 2659 3695 6651 7977 11085 13295 18475 23931 33255 39885 55425 66475 119655 166275 199425 598275 1965001 5895003 9825005 17685009 29475015 49125025 88425045 147375075 442125225