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233120332000 = 255358280083
BaseRepresentation
bin1101100100011100001…
…1011111100011100000
3211021201120000212200101
43121013003133203200
512304412301111000
6255032145432144
722561640061463
oct3310703374340
9737646025611
10233120332000
118a958393906
123921b63b654
1318ca1caa86a
14b3d6ad72da
1560e5eb0e6a
hex36470df8e0

233120332000 has 48 divisors (see below), whose sum is σ = 572776665552. Its totient is φ = 93248131200.

The previous prime is 233120331991. The next prime is 233120332001. The reversal of 233120332000 is 233021332.

It is a happy number.

233120332000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233120332001) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29136042 + ... + 29144041.

It is an arithmetic number, because the mean of its divisors is an integer number (11932847199).

Almost surely, 2233120332000 is an apocalyptic number.

233120332000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233120332000 is an abundant number, since it is smaller than the sum of its proper divisors (339656333552).

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

233120332000 is an equidigital number, since it uses as much as digits as its factorization.

233120332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58280108 (or 58280090 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 19.

Adding to 233120332000 its reverse (233021332), we get a palindrome (233353353332).

The spelling of 233120332000 in words is "two hundred thirty-three billion, one hundred twenty million, three hundred thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 800 1000 2000 4000 58280083 116560166 233120332 291400415 466240664 582800830 932481328 1165601660 1457002075 1864962656 2331203320 2914004150 4662406640 5828008300 7285010375 9324813280 11656016600 14570020750 23312033200 29140041500 46624066400 58280083000 116560166000 233120332000