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238052144 = 241111632
BaseRepresentation
bin11100011000001…
…10001100110000
3121120221022011002
432030012030300
5441420132034
635342141132
75620260401
oct1614061460
9546838132
10238052144
11112413110
12678817a8
133a41b375
14238899a8
1515d73e7e
hexe306330

238052144 has 30 divisors (see below), whose sum is σ = 503588676. Its totient is φ = 108112480.

The previous prime is 238052123. The next prime is 238052149. The reversal of 238052144 is 441250832.

It is a happy number.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (238052149) 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 5 ways as a sum of consecutive naturals, for example, 204107 + ... + 205269.

Almost surely, 2238052144 is an apocalyptic number.

It is an amenable number.

238052144 is an abundant number, since it is smaller than the sum of its proper divisors (265536532).

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

238052144 is an equidigital number, since it uses as much as digits as its factorization.

238052144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2345 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 238052144 is about 15428.9385247333. The cubic root of 238052144 is about 619.7606984915.

The spelling of 238052144 in words is "two hundred thirty-eight million, fifty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 1163 2326 4652 9304 12793 18608 25586 51172 102344 204688 1352569 2705138 5410276 10820552 14878259 21641104 29756518 59513036 119026072 238052144