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232795240000 = 26545819881
BaseRepresentation
bin1101100011001110101…
…1010111011001000000
3211020212220022111021221
43120303223113121000
512303231040140000
6254540013524424
722550611614421
oct3306353273100
9736786274257
10232795240000
118a800931434
123914a7a3714
1318c4c835a2b
14b3a5871648
1560c769761a
hex3633ad7640

232795240000 has 70 divisors (see below), whose sum is σ = 577256635934. Its totient is φ = 93118080000.

The previous prime is 232795239959. The next prime is 232795240019. The reversal of 232795240000 is 42597232.

It is a happy number.

232795240000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 134906351616 + 97888888384 = 367296^2 + 312872^2 .

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 9 ways as a sum of consecutive naturals, for example, 2869941 + ... + 2949940.

Almost surely, 2232795240000 is an apocalyptic number.

232795240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232795240000 is an abundant number, since it is smaller than the sum of its proper divisors (344461395934).

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

232795240000 is an frugal number, since it uses more digits than its factorization.

232795240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5819913 (or 5819888 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The spelling of 232795240000 in words is "two hundred thirty-two billion, seven hundred ninety-five million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 40000 5819881 11639762 23279524 29099405 46559048 58198810 93118096 116397620 145497025 186236192 232795240 290994050 372472384 465590480 581988100 727485125 931180960 1163976200 1454970250 1862361920 2327952400 2909940500 3637425625 4655904800 5819881000 7274851250 9311809600 11639762000 14549702500 23279524000 29099405000 46559048000 58198810000 116397620000 232795240000