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230433434000 = 24537111496321
BaseRepresentation
bin1101011010011011100…
…1110010100110010000
3211000210022011022112122
43112212321302212100
512233411424342000
6253505404113412
722435232604560
oct3264671624620
9730708138478
10230433434000
11897a9736650
12387ab835868
13189644308a3
14b21dd14da0
155eda168085
hex35a6e72990

230433434000 has 160 divisors (see below), whose sum is σ = 694676466432. Its totient is φ = 71823360000.

The previous prime is 230433433927. The next prime is 230433434017. The reversal of 230433434000 is 434334032.

230433434000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 594161 + ... + 902160.

Almost surely, 2230433434000 is an apocalyptic number.

230433434000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230433434000 is an abundant number, since it is smaller than the sum of its proper divisors (464243032432).

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

230433434000 is a wasteful number, since it uses less digits than its factorization.

230433434000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496362 (or 1496346 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 26.

Adding to 230433434000 its reverse (434334032), we get a palindrome (230867768032).

The spelling of 230433434000 in words is "two hundred thirty billion, four hundred thirty-three million, four hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 25 28 35 40 44 50 55 56 70 77 80 88 100 110 112 125 140 154 175 176 200 220 250 275 280 308 350 385 400 440 500 550 560 616 700 770 875 880 1000 1100 1232 1375 1400 1540 1750 1925 2000 2200 2750 2800 3080 3500 3850 4400 5500 6160 7000 7700 9625 11000 14000 15400 19250 22000 30800 38500 77000 154000 1496321 2992642 5985284 7481605 10474247 11970568 14963210 16459531 20948494 23941136 29926420 32919062 37408025 41896988 52371235 59852840 65838124 74816050 82297655 83793976 104742470 115216717 119705680 131676248 149632100 164595310 167587952 187040125 209484940 230433434 261856175 263352496 299264200 329190620 374080250 411488275 418969880 460866868 523712350 576083585 598528400 658381240 748160500 822976550 837939760 921733736 1047424700 1152167170 1309280875 1316762480 1496321000 1645953100 1843467472 2057441375 2094849400 2304334340 2618561750 2880417925 2992642000 3291906200 4114882750 4189698800 4608668680 5237123500 5760835850 6583812400 8229765500 9217337360 10474247000 11521671700 14402089625 16459531000 20948494000 23043343400 28804179250 32919062000 46086686800 57608358500 115216717000 230433434000