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20334041223000 = 2335362471085003
BaseRepresentation
bin1001001111110011000110…
…10011011100111101011000
32122222220201021221211112220
410213321203103130331120
510131123104023114000
6111125155104504040
74166041332410331
oct447714323347530
978886637854486
1020334041223000
11652a689187a8a
122344a5931b020
13b4665180053b
1450425c40d288
15253e05d381a0
hex127e634dcf58

20334041223000 has 128 divisors (see below), whose sum is σ = 63452422725120. Its totient is φ = 5421537993600.

The previous prime is 20334041222977. The next prime is 20334041223017. The reversal of 20334041223000 is 32214043302.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18198499 + ... + 19283501.

It is an arithmetic number, because the mean of its divisors is an integer number (495722052540).

Almost surely, 220334041223000 is an apocalyptic number.

20334041223000 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 20334041223000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31726211362560).

20334041223000 is an abundant number, since it is smaller than the sum of its proper divisors (43118381502120).

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

20334041223000 is a wasteful number, since it uses less digits than its factorization.

20334041223000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091274 (or 1091260 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 20334041223000 its reverse (32214043302), we get a palindrome (20366255266302).

The spelling of 20334041223000 in words is "twenty trillion, three hundred thirty-four billion, forty-one million, two hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 6247 12494 18741 24988 31235 37482 49976 62470 74964 93705 124940 149928 156175 187410 249880 312350 374820 468525 624700 749640 780875 937050 1085003 1249400 1561750 1874100 2170006 2342625 3123500 3255009 3748200 4340012 4685250 5425015 6247000 6510018 8680024 9370500 10850030 13020036 16275045 18741000 21700060 26040072 27125075 32550090 43400120 54250150 65100180 81375225 108500300 130200360 135625375 162750450 217000600 271250750 325500900 406876125 542501500 651001800 813752250 1085003000 1627504500 3255009000 6778013741 13556027482 20334041223 27112054964 33890068705 40668082446 54224109928 67780137410 81336164892 101670206115 135560274820 162672329784 169450343525 203340412230 271120549640 338900687050 406680824460 508351030575 677801374100 813361648920 847251717625 1016702061150 1355602748200 1694503435250 2033404122300 2541755152875 3389006870500 4066808244600 5083510305750 6778013741000 10167020611500 20334041223000