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442205023 = 13532512557
BaseRepresentation
bin11010010110111…
…000001101011111
31010211002100020211
4122112320031133
51401201030043
6111513553251
713646452321
oct3226701537
91124070224
10442205023
112076821a7
12104115827
13707ca9a0
1442a2d611
1528c4da9d
hex1a5b835f

442205023 has 16 divisors (see below), whose sum is σ = 487329696. Its totient is φ = 398736000.

The previous prime is 442204981. The next prime is 442205033. The reversal of 442205023 is 320502244.

It is not a de Polignac number, because 442205023 - 213 = 442196831 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 442204985 and 442205003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442205033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171661 + ... + 174217.

It is an arithmetic number, because the mean of its divisors is an integer number (30458106).

Almost surely, 2442205023 is an apocalyptic number.

442205023 is a deficient number, since it is larger than the sum of its proper divisors (45124673).

442205023 is a wasteful number, since it uses less digits than its factorization.

442205023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874.

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 442205023 is about 21028.6714511402. The cubic root of 442205023 is about 761.8589207292.

Adding to 442205023 its reverse (320502244), we get a palindrome (762707267).

The spelling of 442205023 in words is "four hundred forty-two million, two hundred five thousand, twenty-three".

Divisors: 1 13 53 251 689 2557 3263 13303 33241 135521 172939 641807 1761773 8343491 34015771 442205023