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233243004330 = 23357449274853
BaseRepresentation
bin1101100100111001011…
…1011100110110101010
3211022001002212021111000
43121032113130312222
512310140202114310
6255052251015430
722564656552660
oct3311627346652
9738032767430
10233243004330
118aa106603a6
123925473a576
1318cc152bc3b
14b40910ac30
156101b434c0
hex364e5dcdaa

233243004330 has 128 divisors (see below), whose sum is σ = 712421568000. Its totient is φ = 53193756672.

The previous prime is 233243004329. The next prime is 233243004341. The reversal of 233243004330 is 33400342332.

233243004330 is a `hidden beast` number, since 2 + 3 + 3 + 24 + 300 + 4 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 233243004294 and 233243004303.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 711184 + ... + 986036.

It is an arithmetic number, because the mean of its divisors is an integer number (5565793500).

Almost surely, 2233243004330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233243004330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356210784000).

233243004330 is an abundant number, since it is smaller than the sum of its proper divisors (479178563670).

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

233243004330 is a wasteful number, since it uses less digits than its factorization.

233243004330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275325 (or 275319 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 27.

Adding to 233243004330 its reverse (33400342332), we get a palindrome (266643346662).

The spelling of 233243004330 in words is "two hundred thirty-three billion, two hundred forty-three million, four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 449 630 898 945 1347 1890 2245 2694 3143 4041 4490 6286 6735 8082 9429 12123 13470 15715 18858 20205 24246 28287 31430 40410 47145 56574 60615 84861 94290 121230 141435 169722 274853 282870 424305 549706 824559 848610 1374265 1649118 1923971 2473677 2748530 3847942 4122795 4947354 5771913 7421031 8245590 9619855 11543826 12368385 14842062 17315739 19239710 24736770 28859565 34631478 37105155 51947217 57719130 74210310 86578695 103894434 123408997 173157390 246817994 259736085 370226991 519472170 617044985 740453982 863862979 1110680973 1234089970 1727725958 1851134955 2221361946 2591588937 3332042919 3702269910 4319314895 5183177874 5553404865 6664085838 7774766811 8638629790 11106809730 12957944685 15549533622 16660214595 23324300433 25915889370 33320429190 38873834055 46648600866 77747668110 116621502165 233243004330