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422330320 = 245171931609
BaseRepresentation
bin11001001011000…
…011111111010000
31002102200121021201
4121023003333100
51331104032240
6105524000544
713315514506
oct3113037720
91072617251
10422330320
111a7438025
12b9530154
136965c5c9
1440138676
1527124d9a
hex192c3fd0

422330320 has 80 divisors (see below), whose sum is σ = 1045714320. Its totient is φ = 158072832.

The previous prime is 422330317. The next prime is 422330339. The reversal of 422330320 is 23033224.

It can be written as a sum of positive squares in 8 ways, for example, as 27751824 + 394578496 = 5268^2 + 19864^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261676 + ... + 263284.

It is an arithmetic number, because the mean of its divisors is an integer number (13071429).

Almost surely, 2422330320 is an apocalyptic number.

422330320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422330320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522857160).

422330320 is an abundant number, since it is smaller than the sum of its proper divisors (623384000).

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

422330320 is a wasteful number, since it uses less digits than its factorization.

422330320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1832 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 19.

The square root of 422330320 is about 20550.6768744973. The cubic root of 422330320 is about 750.2697222475.

Adding to 422330320 its reverse (23033224), we get a palindrome (445363544).

It can be divided in two parts, 4223 and 30320, that added together give a palindrome (34543).

The spelling of 422330320 in words is "four hundred twenty-two million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 193 272 340 386 680 772 965 1360 1544 1609 1930 3088 3218 3281 3860 6436 6562 7720 8045 12872 13124 15440 16090 16405 25744 26248 27353 32180 32810 52496 54706 64360 65620 109412 128720 131240 136765 218824 262480 273530 310537 437648 547060 621074 1094120 1242148 1552685 2188240 2484296 3105370 4968592 5279129 6210740 10558258 12421480 21116516 24842960 26395645 42233032 52791290 84466064 105582580 211165160 422330320