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233334002432 = 2813915314283
BaseRepresentation
bin1101100101001111001…
…0100101001100000000
3211022021110002110102002
43121103302211030000
512310332001034212
6255105301243132
722600143203366
oct3312362451400
9738243073362
10233334002432
118aa57a63643
123927b1034a8
131900734027b
14b417237636
156109b1aac2
hex3653ca5300

233334002432 has 72 divisors (see below), whose sum is σ = 469523315520. Its totient is φ = 115724989440.

The previous prime is 233334002431. The next prime is 233334002453. The reversal of 233334002432 is 234200433332.

It is a junction number, because it is equal to n+sod(n) for n = 233334002395 and 233334002404.

It is not an unprimeable number, because it can be changed into a prime (233334002431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54476963 + ... + 54481245.

It is an arithmetic number, because the mean of its divisors is an integer number (6521157160).

Almost surely, 2233334002432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233334002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234761657760).

233334002432 is an abundant number, since it is smaller than the sum of its proper divisors (236189313088).

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

233334002432 is a wasteful number, since it uses less digits than its factorization.

233334002432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5969 (or 5955 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 29.

Adding to 233334002432 its reverse (234200433332), we get a palindrome (467534435764).

The spelling of 233334002432 in words is "two hundred thirty-three billion, three hundred thirty-four million, two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 139 256 278 556 1112 1531 2224 3062 4283 4448 6124 8566 8896 12248 17132 17792 24496 34264 35584 48992 68528 97984 137056 195968 212809 274112 391936 425618 548224 595337 851236 1096448 1190674 1702472 2381348 3404944 4762696 6557273 6809888 9525392 13114546 13619776 19050784 26229092 27239552 38101568 52458184 54479104 76203136 104916368 152406272 209832736 419665472 839330944 911460947 1678661888 1822921894 3645843788 7291687576 14583375152 29166750304 58333500608 116667001216 233334002432