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332204240020000 = 255420038292667
BaseRepresentation
bin100101110001000110101001…
…1101110000010001000100000
31121120020102012200010012210111
41023202031103232002020200
5322020313240421120000
63134312304312541104
7126654651520202605
oct11342152356021040
91546212180105714
10332204240020000
119693a032a43317
12313134a79b1794
1311349957975c6a
145c06ab19066ac
1528615dbe21cba
hex12e2353b82220

332204240020000 has 120 divisors (see below), whose sum is σ = 817680383782416. Its totient is φ = 132815338656000.

The previous prime is 332204240019983. The next prime is 332204240020021. The reversal of 332204240020000 is 20042402233.

It is a super-2 number, since 2×3322042400200002 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35913667 + ... + 44206333.

Almost surely, 2332204240020000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 332204240020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408840191891208).

332204240020000 is an abundant number, since it is smaller than the sum of its proper divisors (485476143762416).

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

332204240020000 is an equidigital number, since it uses as much as digits as its factorization.

332204240020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8294700 (or 8294677 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 332204240020000 its reverse (20042402233), we get a palindrome (332224282422233).

The spelling of 332204240020000 in words is "three hundred thirty-two trillion, two hundred four billion, two hundred forty million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2003 2500 4000 4006 5000 8012 10000 10015 16024 20000 20030 32048 40060 50075 64096 80120 100150 160240 200300 250375 320480 400600 500750 801200 1001500 1251875 1602400 2003000 2503750 4006000 5007500 8012000 8292667 10015000 16585334 20030000 33170668 40060000 41463335 66341336 82926670 132682672 165853340 207316675 265365344 331706680 414633350 663413360 829266700 1036583375 1326826720 1658533400 2073166750 3317066800 4146333500 5182916875 6634133600 8292667000 10365833750 16585334000 16610212001 20731667500 33170668000 33220424002 41463335000 66440848004 82926670000 83051060005 132881696008 165853340000 166102120010 265763392016 332204240020 415255300025 531526784032 664408480040 830510600050 1328816960080 1661021200100 2076276500125 2657633920160 3322042400200 4152553000250 6644084800400 8305106000500 10381382500625 13288169600800 16610212001000 20762765001250 33220424002000 41525530002500 66440848004000 83051060005000 166102120010000 332204240020000