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232240053340400 = 24527241393343601
BaseRepresentation
bin110100110011100010011001…
…111000011100100011110000
31010110021221011121212212021212
4310303202121320130203300
5220420010112123343100
62141533335125535252
766626535010156220
oct6463423170344360
91113257147785255
10232240053340400
1167aa94a96968a6
1222069817b74528
139c781b23bb881
14414c69b236080
151bcb16b7db635
hexd33899e1c8f0

232240053340400 has 120 divisors (see below), whose sum is σ = 637669329613344. Its totient is φ = 79624599552000.

The previous prime is 232240053340331. The next prime is 232240053340411. The reversal of 232240053340400 is 4043350042232.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 675728600 + ... + 676072200.

Almost surely, 2232240053340400 is an apocalyptic number.

232240053340400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232240053340400 is an abundant number, since it is smaller than the sum of its proper divisors (405429276272944).

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

232240053340400 is a wasteful number, since it uses less digits than its factorization.

232240053340400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 585019 (or 585008 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

The spelling of 232240053340400 in words is "two hundred thirty-two trillion, two hundred forty billion, fifty-three million, three hundred forty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 241393 343601 482786 687202 965572 1206965 1374404 1689751 1718005 1931144 2405207 2413930 2748808 3379502 3436010 3862288 4810414 4827860 5497616 6034825 6759004 6872020 8448755 8590025 9620828 9655720 12026035 12069650 13518008 13744040 16897510 17180050 19241656 19311440 24052070 24139300 27036016 27488080 33795020 34360100 38483312 42243775 48104140 48278600 60130175 67590040 68720200 84487550 96208280 96557200 120260350 135180080 137440400 168975100 192416560 240520700 337950200 481041400 675900400 962082800 82942876193 165885752386 331771504772 414714380965 580600133351 663543009544 829428761930 1161200266702 1327086019088 1658857523860 2073571904825 2322400533404 2903000666755 3317715047720 4147143809650 4644801066808 5806001333510 6635430095440 8294287619300 9289602133616 11612002667020 14515003333775 16588575238600 23224005334040 29030006667550 33177150477200 46448010668080 58060013335100 116120026670200 232240053340400