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1232232214000 = 24532921245383
BaseRepresentation
bin10001111011100110110…
…000110110110111110000
311100210121101022020022011
4101323212300312313300
5130142102421322000
62342025112452304
7155011602000304
oct21734660666760
94323541266264
101232232214000
1143564aa62587
1217a9940aa094
138c278280098
14438d71d7d04
15220be7962ba
hex11ee6c36df0

1232232214000 has 80 divisors (see below), whose sum is σ = 3082280310720. Its totient is φ = 475896556800.

The previous prime is 1232232213983. The next prime is 1232232214001. The reversal of 1232232214000 is 4122322321.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1232232214001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10564692 + ... + 10680691.

It is an arithmetic number, because the mean of its divisors is an integer number (38528503884).

Almost surely, 21232232214000 is an apocalyptic number.

1232232214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1232232214000 is an abundant number, since it is smaller than the sum of its proper divisors (1850048096720).

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

1232232214000 is a wasteful number, since it uses less digits than its factorization.

1232232214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21245435 (or 21245419 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 1232232214000 its reverse (4122322321), we get a palindrome (1236354536321).

The spelling of 1232232214000 in words is "one trillion, two hundred thirty-two billion, two hundred thirty-two million, two hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 100 116 125 145 200 232 250 290 400 464 500 580 725 1000 1160 1450 2000 2320 2900 3625 5800 7250 11600 14500 29000 58000 21245383 42490766 84981532 106226915 169963064 212453830 339926128 424907660 531134575 616116107 849815320 1062269150 1232232214 1699630640 2124538300 2464464428 2655672875 3080580535 4249076600 4928928856 5311345750 6161161070 8498153200 9857857712 10622691500 12322322140 15402902675 21245383000 24644644280 30805805350 42490766000 49289288560 61611610700 77014513375 123223221400 154029026750 246446442800 308058053500 616116107000 1232232214000