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235101328 = 24711190829
BaseRepresentation
bin11100000001101…
…01110010010000
3121101101101101121
432000311302100
5440141220303
635155012024
75553220420
oct1600656220
9541341347
10235101328
11110788120
126689a014
1339927217
142331c480
151598e9bd
hexe035c90

235101328 has 40 divisors (see below), whose sum is σ = 567910080. Its totient is φ = 91597440.

The previous prime is 235101299. The next prime is 235101329. The reversal of 235101328 is 823101532.

235101328 is nontrivially palindromic in base 3.

It is not an unprimeable number, because it can be changed into a prime (235101329) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 94183 + ... + 96646.

It is an arithmetic number, because the mean of its divisors is an integer number (14197752).

Almost surely, 2235101328 is an apocalyptic number.

235101328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

235101328 is an abundant number, since it is smaller than the sum of its proper divisors (332808752).

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

235101328 is a wasteful number, since it uses less digits than its factorization.

235101328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190855 (or 190849 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 235101328 is about 15333.0143155219. The cubic root of 235101328 is about 617.1892609549.

The spelling of 235101328 in words is "two hundred thirty-five million, one hundred one thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 154 176 308 616 1232 190829 381658 763316 1335803 1526632 2099119 2671606 3053264 4198238 5343212 8396476 10686424 14693833 16792952 21372848 29387666 33585904 58775332 117550664 235101328