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235530512 = 247171031201
BaseRepresentation
bin11100000100111…
…10100100010000
3121102012012010022
432002132210100
5440243434022
635212123012
75556655610
oct1602364420
9542165108
10235530512
11110a50618
1266a66468
1339a47689
14233d0a40
1515a26c42
hexe09e910

235530512 has 80 divisors (see below), whose sum is σ = 558035712. Its totient is φ = 94003200.

The previous prime is 235530497. The next prime is 235530523. The reversal of 235530512 is 215035532.

235530512 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 195512 + ... + 196712.

Almost surely, 2235530512 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 235530512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279017856).

235530512 is an abundant number, since it is smaller than the sum of its proper divisors (322505200).

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

235530512 is a wasteful number, since it uses less digits than its factorization.

235530512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 26.

The square root of 235530512 is about 15347.0033557043. The cubic root of 235530512 is about 617.5645980271.

The spelling of 235530512 in words is "two hundred thirty-five million, five hundred thirty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 103 112 119 136 206 238 272 412 476 721 824 952 1201 1442 1648 1751 1904 2402 2884 3502 4804 5768 7004 8407 9608 11536 12257 14008 16814 19216 20417 24514 28016 33628 40834 49028 67256 81668 98056 123703 134512 142919 163336 196112 247406 285838 326672 494812 571676 865921 989624 1143352 1731842 1979248 2102951 2286704 3463684 4205902 6927368 8411804 13854736 14720657 16823608 29441314 33647216 58882628 117765256 235530512