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442410221 = 112337167283
BaseRepresentation
bin11010010111101…
…010010011101101
31010211110202201202
4122113222103231
51401224111341
6111522215245
713651265501
oct3227522355
91124422652
10442410221
11207802390
121041b4525
13708701c6
1442a84301
1528c8e79b
hex1a5ea4ed

442410221 has 32 divisors (see below), whose sum is σ = 522160128. Its totient is φ = 370751040.

The previous prime is 442410203. The next prime is 442410253. The reversal of 442410221 is 122014244.

It is a de Polignac number, because none of the positive numbers 2k-442410221 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 442410193 and 442410202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442410721) 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 31 ways as a sum of consecutive naturals, for example, 1563146 + ... + 1563428.

It is an arithmetic number, because the mean of its divisors is an integer number (16317504).

Almost surely, 2442410221 is an apocalyptic number.

It is an amenable number.

442410221 is a deficient number, since it is larger than the sum of its proper divisors (79749907).

442410221 is a wasteful number, since it uses less digits than its factorization.

442410221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521.

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 442410221 is about 21033.5498905915. The cubic root of 442410221 is about 761.9767452253.

Adding to 442410221 its reverse (122014244), we get a palindrome (564424465).

The spelling of 442410221 in words is "four hundred forty-two million, four hundred ten thousand, two hundred twenty-one".

Divisors: 1 11 23 37 167 253 283 407 851 1837 3113 3841 6179 6509 9361 10471 42251 47261 67969 71599 115181 142117 240833 519871 1087003 1563287 1748657 2649163 11957033 19235227 40219111 442410221