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238431069 = 32172292109
BaseRepresentation
bin11100011011000…
…10101101011101
3121121122112221100
432031202231131
5442014243234
635354223313
75623426212
oct1615425535
9547575840
10238431069
11112651878
1267a24b39
133a521996
1423947b09
1515deb399
hexe362b5d

238431069 has 54 divisors (see below), whose sum is σ = 382377710. Its totient is φ = 143119872.

The previous prime is 238431007. The next prime is 238431079. The reversal of 238431069 is 960134832.

It can be written as a sum of positive squares in 9 ways, for example, as 191844 + 238239225 = 438^2 + 15435^2 .

It is not a de Polignac number, because 238431069 - 29 = 238430557 is a prime.

It is a super-2 number, since 2×2384310692 = 113698749328965522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238431079) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2187387 + ... + 2187495.

Almost surely, 2238431069 is an apocalyptic number.

238431069 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

238431069 is a deficient number, since it is larger than the sum of its proper divisors (143946641).

238431069 is a wasteful number, since it uses less digits than its factorization.

238431069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 238431069 is about 15441.2133266787. The cubic root of 238431069 is about 620.0893636365.

The spelling of 238431069 in words is "two hundred thirty-eight million, four hundred thirty-one thousand, sixty-nine".

Divisors: 1 3 9 17 29 51 87 109 153 261 289 327 493 841 867 981 1479 1853 2523 2601 3161 4437 5559 7569 8381 9483 14297 16677 25143 28449 31501 42891 53737 75429 91669 94503 128673 161211 243049 275007 283509 483633 729147 825021 913529 1558373 2187441 2740587 4675119 8221761 14025357 26492341 79477023 238431069