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442640022 = 23113431289
BaseRepresentation
bin11010011000100…
…010011010010110
31010211220102221220
4122120202122112
51401303440042
6111531151210
713653243456
oct3230423226
91124812856
10442640022
1120794a000
121042a5506
1370920996
1442b03d66
1528cd78ec
hex1a622696

442640022 has 64 divisors (see below), whose sum is σ = 997159680. Its totient is φ = 130912320.

The previous prime is 442639997. The next prime is 442640027. The reversal of 442640022 is 220046244.

It is a junction number, because it is equal to n+sod(n) for n = 442639974 and 442640001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442640027) 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 31 ways as a sum of consecutive naturals, for example, 342754 + ... + 344042.

It is an arithmetic number, because the mean of its divisors is an integer number (15580620).

Almost surely, 2442640022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442640022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498579840).

442640022 is an abundant number, since it is smaller than the sum of its proper divisors (554519658).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442640022 is a wasteful number, since it uses less digits than its factorization.

442640022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1348 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 442640022 is about 21039.0119064561. The cubic root of 442640022 is about 762.1086535015.

Adding to 442640022 its reverse (220046244), we get a palindrome (662686266).

The spelling of 442640022 in words is "four hundred forty-two million, six hundred forty thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 121 129 242 258 363 473 726 946 1289 1331 1419 2578 2662 2838 3867 3993 5203 7734 7986 10406 14179 15609 28358 31218 42537 55427 57233 85074 110854 114466 155969 166281 171699 311938 332562 343398 467907 609697 935814 1219394 1715659 1829091 3431318 3658182 5146977 6706667 10293954 13413334 20120001 40240002 73773337 147546674 221320011 442640022