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20223431300000 = 2555296973597
BaseRepresentation
bin1001001100100101000100…
…11100000101001110100000
32122121100012200212120010002
410212102202130011032200
510122320041403100000
6111002303250155132
74155044323521605
oct446224234051640
978540180776102
1020223431300000
116497788821785
12232752a282aa8
13b390a4b42266
144dcb6821c6ac
152510d04128d5
hex1264a27053a0

20223431300000 has 144 divisors (see below), whose sum is σ = 51481471459320. Its totient is φ = 7810427520000.

The previous prime is 20223431299999. The next prime is 20223431300047. The reversal of 20223431300000 is 313432202.

It can be written as a sum of positive squares in 12 ways, for example, as 6847705043344 + 13375726256656 = 2616812^2 + 3657284^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 586799 + ... + 6386798.

Almost surely, 220223431300000 is an apocalyptic number.

20223431300000 is a gapful number since it is divisible by the number (20) 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 20223431300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25740735729660).

20223431300000 is an abundant number, since it is smaller than the sum of its proper divisors (31258040159320).

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

20223431300000 is an frugal number, since it uses more digits than its factorization.

20223431300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6973661 (or 6973633 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 20223431300000 its reverse (313432202), we get a palindrome (20223744732202).

The spelling of 20223431300000 in words is "twenty trillion, two hundred twenty-three billion, four hundred thirty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 464 500 580 625 725 800 928 1000 1160 1250 1450 2000 2320 2500 2900 3125 3625 4000 4640 5000 5800 6250 7250 10000 11600 12500 14500 18125 20000 23200 25000 29000 36250 50000 58000 72500 90625 100000 116000 145000 181250 290000 362500 580000 725000 1450000 2900000 6973597 13947194 27894388 34867985 55788776 69735970 111577552 139471940 174339925 202234313 223155104 278943880 348679850 404468626 557887760 697359700 808937252 871699625 1011171565 1115775520 1394719400 1617874504 1743399250 2022343130 2789438800 3235749008 3486798500 4044686260 4358498125 5055857825 5578877600 6471498016 6973597000 8089372520 8716996250 10111715650 13947194000 16178745040 17433992500 20223431300 21792490625 25279289125 27894388000 32357490080 34867985000 40446862600 43584981250 50558578250 69735970000 80893725200 87169962500 101117156500 126396445625 139471940000 161787450400 174339925000 202234313000 252792891250 348679850000 404468626000 505585782500 631982228125 697359700000 808937252000 1011171565000 1263964456250 2022343130000 2527928912500 4044686260000 5055857825000 10111715650000 20223431300000