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235001000 = 23531318077
BaseRepresentation
bin11100000000111…
…01010010101000
3121101012021202202
432000131102220
5440130013000
635152515332
75552322053
oct1600352250
9541167682
10235001000
11110719803
126684bb48
13398c0660
14232d3a9a
151596edd5
hexe01d4a8

235001000 has 64 divisors (see below), whose sum is σ = 592235280. Its totient is φ = 86764800.

The previous prime is 235000999. The next prime is 235001003. The reversal of 235001000 is 100532.

It can be written as a sum of positive squares in 8 ways, for example, as 19909444 + 215091556 = 4462^2 + 14666^2 .

It is not an unprimeable number, because it can be changed into a prime (235001003) 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 15 ways as a sum of consecutive naturals, for example, 3962 + ... + 22038.

Almost surely, 2235001000 is an apocalyptic number.

235001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296117640).

235001000 is an abundant number, since it is smaller than the sum of its proper divisors (357234280).

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

235001000 is a wasteful number, since it uses less digits than its factorization.

235001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18111 (or 18097 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 235001000 is about 15329.7423331248. The cubic root of 235001000 is about 617.1014545964.

Adding to 235001000 its reverse (100532), we get a palindrome (235101532).

The spelling of 235001000 in words is "two hundred thirty-five million, one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 250 260 325 500 520 650 1000 1300 1625 2600 3250 6500 13000 18077 36154 72308 90385 144616 180770 235001 361540 451925 470002 723080 903850 940004 1175005 1807700 1880008 2259625 2350010 3615400 4519250 4700020 5875025 9038500 9400040 11750050 18077000 23500100 29375125 47000200 58750250 117500500 235001000