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238235820 = 223518121937
BaseRepresentation
bin11100011001100…
…11000010101100
3121121021122002220
432030303002230
5441442021240
635350115340
75621654034
oct1614630254
9547248086
10238235820
11112529109
126794bb50
133a483b54
14238d68c4
1515dad5d0
hexe3330ac

238235820 has 48 divisors (see below), whose sum is σ = 670776288. Its totient is φ = 63175680.

The previous prime is 238235801. The next prime is 238235831. The reversal of 238235820 is 28532832.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109 + ... + 21828.

It is an arithmetic number, because the mean of its divisors is an integer number (13974506).

Almost surely, 2238235820 is an apocalyptic number.

238235820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

238235820 is an abundant number, since it is smaller than the sum of its proper divisors (432540468).

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

238235820 is a wasteful number, since it uses less digits than its factorization.

238235820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22130 (or 22128 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 238235820 is about 15434.8896983425. The cubic root of 238235820 is about 619.9200555958.

The spelling of 238235820 in words is "two hundred thirty-eight million, two hundred thirty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 181 362 543 724 905 1086 1810 2172 2715 3620 5430 10860 21937 43874 65811 87748 109685 131622 219370 263244 329055 438740 658110 1316220 3970597 7941194 11911791 15882388 19852985 23823582 39705970 47647164 59558955 79411940 119117910 238235820