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442225 = 5272192
BaseRepresentation
bin1101011111101110001
3211110121201
41223331301
5103122400
613251201
73521200
oct1537561
9743551
10442225
11282283
12193b01
13126394
14b7237
158b06a
hex6bf71

442225 has 27 divisors (see below), whose sum is σ = 673227. Its totient is φ = 287280.

The previous prime is 442217. The next prime is 442229. The reversal of 442225 is 522244.

The square root of 442225 is 665.

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

It can be written as a sum of positive squares in only one way, i.e., 159201 + 283024 = 399^2 + 532^2 .

It is not a de Polignac number, because 442225 - 23 = 442217 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (442229) 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 26 ways as a sum of consecutive naturals, for example, 23266 + ... + 23284.

442225 is a Friedman number, since it can be written as (42+5^4-2)^2, using all its digits and the basic arithmetic operations.

2442225 is an apocalyptic number.

442225 is the 665-th square number.

442225 is the 333-rd centered octagonal number.

It is an amenable number.

442225 is a deficient number, since it is larger than the sum of its proper divisors (231002).

442225 is a wasteful number, since it uses less digits than its factorization.

442225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 31 counting only the distinct ones).

The product of its digits is 640, while the sum is 19.

The cubic root of 442225 is about 76.1870393105.

Adding to 442225 its sum of digits (19), we get a palindrome (442244).

Adding to 442225 its reverse (522244), we get a palindrome (964469).

The spelling of 442225 in words is "four hundred forty-two thousand, two hundred twenty-five".

Divisors: 1 5 7 19 25 35 49 95 133 175 245 361 475 665 931 1225 1805 2527 3325 4655 9025 12635 17689 23275 63175 88445 442225