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238864221 = 3413122511
BaseRepresentation
bin11100011110011…
…00011101011101
3121122110120010000
432033030131131
5442122123341
635411404513
75630212101
oct1617143535
9548416100
10238864221
11112918252
1267bb3739
133a643b9b
1423a1b901
1515e848b6
hexe3cc75d

238864221 has 20 divisors (see below), whose sum is σ = 359561664. Its totient is φ = 158020200.

The previous prime is 238864211. The next prime is 238864243. The reversal of 238864221 is 122468832.

238864221 is a `hidden beast` number, since 2 + 3 + 8 + 8 + 642 + 2 + 1 = 666.

It is not a de Polignac number, because 238864221 - 225 = 205309789 is a prime.

It is a super-2 number, since 2×2388642212 = 114112232147873682, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238864201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 645 + ... + 21866.

Almost surely, 2238864221 is an apocalyptic number.

It is an amenable number.

238864221 is a deficient number, since it is larger than the sum of its proper divisors (120697443).

238864221 is a wasteful number, since it uses less digits than its factorization.

238864221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22654 (or 22645 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 238864221 is about 15455.2328031641. The cubic root of 238864221 is about 620.4646369658.

The spelling of 238864221 in words is "two hundred thirty-eight million, eight hundred sixty-four thousand, two hundred twenty-one".

Divisors: 1 3 9 27 81 131 393 1179 3537 10611 22511 67533 202599 607797 1823391 2948941 8846823 26540469 79621407 238864221