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232143023000 = 23537313105953
BaseRepresentation
bin1101100000110011001…
…1010110101110011000
3211012012110001102202202
43120030303112232120
512300412103214000
6254351154345332
722525502065220
oct3301463265630
9735173042682
10232143023000
118a4a6759119
1238ba828b248
1318b77686905
14b342db5080
15608a2b2dd5
hex360ccd6b98

232143023000 has 128 divisors (see below), whose sum is σ = 622806088320. Its totient is φ = 79336857600.

The previous prime is 232143022987. The next prime is 232143023029. The reversal of 232143023000 is 320341232.

232143023000 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 2138024 + ... + 2243976.

It is an arithmetic number, because the mean of its divisors is an integer number (4865672565).

Almost surely, 2232143023000 is an apocalyptic number.

232143023000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232143023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311403044160).

232143023000 is an abundant number, since it is smaller than the sum of its proper divisors (390663065320).

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

232143023000 is a wasteful number, since it uses less digits than its factorization.

232143023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106294 (or 106280 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 232143023000 its reverse (320341232), we get a palindrome (232463364232).

The spelling of 232143023000 in words is "two hundred thirty-two billion, one hundred forty-three million, twenty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 313 350 500 626 700 875 1000 1252 1400 1565 1750 2191 2504 3130 3500 4382 6260 7000 7825 8764 10955 12520 15650 17528 21910 31300 39125 43820 54775 62600 78250 87640 105953 109550 156500 211906 219100 273875 313000 423812 438200 529765 547750 741671 847624 1059530 1095500 1483342 2119060 2191000 2648825 2966684 3708355 4238120 5297650 5933368 7416710 10595300 13244125 14833420 18541775 21190600 26488250 29666840 33163289 37083550 52976500 66326578 74167100 92708875 105953000 132653156 148334200 165816445 185417750 232143023 265306312 331632890 370835500 464286046 663265780 741671000 829082225 928572092 1160715115 1326531560 1658164450 1857144184 2321430230 3316328900 4145411125 4642860460 5803575575 6632657800 8290822250 9285720920 11607151150 16581644500 23214302300 29017877875 33163289000 46428604600 58035755750 116071511500 232143023000