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233980112 = 24174120981
BaseRepresentation
bin11011111001001…
…00000011010000
3121022021102101002
431330210003100
5434344330422
635115001132
75540540522
oct1574440320
9538242332
10233980112
111100917a3
12664391a8
1339623a92
1423109a12
151581c692
hexdf240d0

233980112 has 40 divisors (see below), whose sum is σ = 491734152. Its totient is φ = 107417600.

The previous prime is 233980099. The next prime is 233980121. The reversal of 233980112 is 211089332.

233980112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15649936 + 218330176 = 3956^2 + 14776^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 662 + ... + 21642.

Almost surely, 2233980112 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 233980112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245867076).

233980112 is an abundant number, since it is smaller than the sum of its proper divisors (257754040).

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

233980112 is a wasteful number, since it uses less digits than its factorization.

233980112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21047 (or 21041 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 233980112 is about 15296.4084673495. The cubic root of 233980112 is about 616.2065563555.

The spelling of 233980112 in words is "two hundred thirty-three million, nine hundred eighty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1394 2788 5576 11152 20981 41962 83924 167848 335696 356677 713354 860221 1426708 1720442 2853416 3440884 5706832 6881768 13763536 14623757 29247514 58495028 116990056 233980112