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235818 = 23311397
BaseRepresentation
bin111001100100101010
3102222111000
4321210222
530021233
65015430
72001342
oct714452
9388430
10235818
111511a0
12b4576
138344b
1461d22
1549d13
hex3992a

235818 has 32 divisors (see below), whose sum is σ = 573120. Its totient is φ = 71280.

The previous prime is 235813. The next prime is 235849. The reversal of 235818 is 818532.

It is a happy number.

235818 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2358182 = 111220258248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 235791 and 235800.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 235818.

It is not an unprimeable number, because it can be changed into a prime (235811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 396 + ... + 792.

It is an arithmetic number, because the mean of its divisors is an integer number (17910).

2235818 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 235818, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286560).

235818 is an abundant number, since it is smaller than the sum of its proper divisors (337302).

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

235818 is a wasteful number, since it uses less digits than its factorization.

235818 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 235818 is about 485.6109553954. The cubic root of 235818 is about 61.7815761840.

The spelling of 235818 in words is "two hundred thirty-five thousand, eight hundred eighteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 397 594 794 1191 2382 3573 4367 7146 8734 10719 13101 21438 26202 39303 78606 117909 235818