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235135500 = 22353179221
BaseRepresentation
bin11100000001111…
…10001000001100
3121101110010021020
432000332020030
5440143314000
635155434140
75553422145
oct1600761014
9541403236
10235135500
11110800866
12668b5950
1339939942
142332aacc
1515999ba0
hexe03e20c

235135500 has 96 divisors (see below), whose sum is σ = 725070528. Its totient is φ = 59008000.

The previous prime is 235135493. The next prime is 235135519. The reversal of 235135500 is 5531532.

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 31 ways as a sum of consecutive naturals, for example, 20890 + ... + 30110.

It is an arithmetic number, because the mean of its divisors is an integer number (7552818).

Almost surely, 2235135500 is an apocalyptic number.

235135500 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 235135500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362535264).

235135500 is an abundant number, since it is smaller than the sum of its proper divisors (489935028).

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

235135500 is a wasteful number, since it uses less digits than its factorization.

235135500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9260 (or 9248 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 24.

The square root of 235135500 is about 15334.1286025649. The cubic root of 235135500 is about 617.2191623451.

The spelling of 235135500 in words is "two hundred thirty-five million, one hundred thirty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 125 150 170 204 250 255 300 340 375 425 500 510 750 850 1020 1275 1500 1700 2125 2550 4250 5100 6375 8500 9221 12750 18442 25500 27663 36884 46105 55326 92210 110652 138315 156757 184420 230525 276630 313514 461050 470271 553260 627028 691575 783785 922100 940542 1152625 1383150 1567570 1881084 2305250 2351355 2766300 3135140 3457875 3918925 4610500 4702710 6915750 7837850 9405420 11756775 13831500 15675700 19594625 23513550 39189250 47027100 58783875 78378500 117567750 235135500