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233323204240 = 24573591160581
BaseRepresentation
bin1101100101001100100…
…1011000111010010000
3211022020200202212002001
43121103021120322100
512310321220013430
6255104234003344
722566652340650
oct3312311307220
9738220685061
10233323204240
118aa51958815
1239277576554
131900502c2c9
14b415a26360
156108bd63ca
hex3653258e90

233323204240 has 80 divisors (see below), whose sum is σ = 621700565760. Its totient is φ = 79773626880.

The previous prime is 233323204201. The next prime is 233323204259. The reversal of 233323204240 is 42402323332.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 233323204199 and 233323204208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 379251 + ... + 781330.

It is an arithmetic number, because the mean of its divisors is an integer number (7771257072).

Almost surely, 2233323204240 is an apocalyptic number.

233323204240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233323204240 is an abundant number, since it is smaller than the sum of its proper divisors (388377361520).

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

233323204240 is a wasteful number, since it uses less digits than its factorization.

233323204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160960 (or 1160954 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 28.

Adding to 233323204240 its reverse (42402323332), we get a palindrome (275725527572).

The spelling of 233323204240 in words is "two hundred thirty-three billion, three hundred twenty-three million, two hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 359 560 718 1436 1795 2513 2872 3590 5026 5744 7180 10052 12565 14360 20104 25130 28720 40208 50260 100520 201040 1160581 2321162 4642324 5802905 8124067 9284648 11605810 16248134 18569296 23211620 32496268 40620335 46423240 64992536 81240670 92846480 129985072 162481340 324962680 416648579 649925360 833297158 1666594316 2083242895 2916540053 3333188632 4166485790 5833080106 6666377264 8332971580 11666160212 14582700265 16665943160 23332320424 29165400530 33331886320 46664640848 58330801060 116661602120 233323204240