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238216693 = 11213374093
BaseRepresentation
bin11100011001011…
…10010111110101
3121121020122212111
432030232113311
5441440413233
635345451021
75621544211
oct1614562765
9547218774
10238216693
11112515800
1267940a71
133a478230
14238cd941
1515da7acd
hexe32e5f5

238216693 has 24 divisors (see below), whose sum is σ = 289675064. Its totient is φ = 194451840.

The previous prime is 238216687. The next prime is 238216703. The reversal of 238216693 is 396612832.

It can be written as a sum of positive squares in 4 ways, for example, as 33097009 + 205119684 = 5753^2 + 14322^2 .

It is not a de Polignac number, because 238216693 - 213 = 238208501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238216613) 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 23 ways as a sum of consecutive naturals, for example, 56155 + ... + 60247.

Almost surely, 2238216693 is an apocalyptic number.

It is an amenable number.

238216693 is a deficient number, since it is larger than the sum of its proper divisors (51458371).

238216693 is a wasteful number, since it uses less digits than its factorization.

238216693 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165 (or 4154 counting only the distinct ones).

The product of its digits is 93312, while the sum is 40.

The square root of 238216693 is about 15434.2700831623. The cubic root of 238216693 is about 619.9034648521.

The spelling of 238216693 in words is "two hundred thirty-eight million, two hundred sixteen thousand, six hundred ninety-three".

Divisors: 1 11 13 37 121 143 407 481 1573 4093 4477 5291 45023 53209 58201 151441 495253 585299 1665851 1968733 6438289 18324361 21656063 238216693