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238131096 = 233712711161
BaseRepresentation
bin11100011000110…
…01011110011000
3121121002022110020
432030121132120
5441430143341
635343550440
75621036520
oct1614313630
9547068406
10238131096
11112467465
12678bb420
133a448298
14238aa680
1515d8c566
hexe319798

238131096 has 64 divisors (see below), whose sum is σ = 685793280. Its totient is φ = 67495680.

The previous prime is 238131059. The next prime is 238131097. The reversal of 238131096 is 690131832.

238131096 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2381310962 = 113412837764322432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (238131097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15756 + ... + 26916.

It is an arithmetic number, because the mean of its divisors is an integer number (10715520).

Almost surely, 2238131096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238131096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342896640).

238131096 is an abundant number, since it is smaller than the sum of its proper divisors (447662184).

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

238131096 is a wasteful number, since it uses less digits than its factorization.

238131096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11304 (or 11300 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 238131096 is about 15431.4968813787. The cubic root of 238131096 is about 619.8292072047.

The spelling of 238131096 in words is "two hundred thirty-eight million, one hundred thirty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 127 168 254 381 508 762 889 1016 1524 1778 2667 3048 3556 5334 7112 10668 11161 21336 22322 33483 44644 66966 78127 89288 133932 156254 234381 267864 312508 468762 625016 937524 1417447 1875048 2834894 4252341 5669788 8504682 9922129 11339576 17009364 19844258 29766387 34018728 39688516 59532774 79377032 119065548 238131096