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20322314400 = 253528467631
BaseRepresentation
bin10010111011010011…
…011110100010100000
31221110022000112111010
4102323103132202200
5313110003030100
613200321420520
71316414552013
oct227323364240
957408015433
1020322314400
118689464663
123b31a9a740
131bbb3b940b
14dab02737a
157de1d6750
hex4bb4de8a0

20322314400 has 72 divisors (see below), whose sum is σ = 66149141184. Its totient is φ = 5419283200.

The previous prime is 20322314387. The next prime is 20322314423. The reversal of 20322314400 is 441322302.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4231416 + ... + 4236215.

It is an arithmetic number, because the mean of its divisors is an integer number (918738072).

Almost surely, 220322314400 is an apocalyptic number.

20322314400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20322314400 is an abundant number, since it is smaller than the sum of its proper divisors (45826826784).

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

20322314400 is a wasteful number, since it uses less digits than its factorization.

20322314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8467654 (or 8467641 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20322314400 its reverse (441322302), we get a palindrome (20763636702).

The spelling of 20322314400 in words is "twenty billion, three hundred twenty-two million, three hundred fourteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 8467631 16935262 25402893 33870524 42338155 50805786 67741048 84676310 101611572 127014465 135482096 169352620 203223144 211690775 254028930 270964192 338705240 406446288 423381550 508057860 635072325 677410480 812892576 846763100 1016115720 1270144650 1354820960 1693526200 2032231440 2540289300 3387052400 4064462880 5080578600 6774104800 10161157200 20322314400