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252330343320 = 233511593239989
BaseRepresentation
bin1110101100000000001…
…1110111101110011000
3220010022100001120012010
43223000003313232120
513113233031441240
6311530254545520
724141660346416
oct3530003675630
9803270046163
10252330343320
119801599a720
1240aa0b082a0
131aa43ac9373
14c2da0dc2b6
15686c6d1280
hex3ac00f7b98

252330343320 has 128 divisors (see below), whose sum is σ = 839805408000. Its totient is φ = 60134177280.

The previous prime is 252330343271. The next prime is 252330343327. The reversal of 252330343320 is 23343033252.

252330343320 is digitally balanced in base 2, because in such base 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252330343327) by changing a digit.

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, 1542115 + ... + 1697874.

It is an arithmetic number, because the mean of its divisors is an integer number (6560979750).

Almost surely, 2252330343320 is an apocalyptic number.

252330343320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252330343320 is an abundant number, since it is smaller than the sum of its proper divisors (587475064680).

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

252330343320 is a wasteful number, since it uses less digits than its factorization.

252330343320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3240073 (or 3240069 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 30.

Adding to 252330343320 its reverse (23343033252), we get a palindrome (275673376572).

The spelling of 252330343320 in words is "two hundred fifty-two billion, three hundred thirty million, three hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 59 60 66 88 110 118 120 132 165 177 220 236 264 295 330 354 440 472 590 649 660 708 885 1180 1298 1320 1416 1770 1947 2360 2596 3245 3540 3894 5192 6490 7080 7788 9735 12980 15576 19470 25960 38940 77880 3239989 6479978 9719967 12959956 16199945 19439934 25919912 32399890 35639879 38879868 48599835 64799780 71279758 77759736 97199670 106919637 129599560 142559516 178199395 191159351 194399340 213839274 285119032 356398790 382318702 388798680 427678548 534598185 573478053 712797580 764637404 855357096 955796755 1069196370 1146956106 1425595160 1529274808 1911593510 2102752861 2138392740 2293912212 2867390265 3823187020 4205505722 4276785480 4587824424 5734780530 6308258583 7646374040 8411011444 10513764305 11469561060 12616517166 16822022888 21027528610 22939122120 25233034332 31541292915 42055057220 50466068664 63082585830 84110114440 126165171660 252330343320