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238135296 = 211373113
BaseRepresentation
bin11100011000110…
…10100000000000
3121121002112012210
432030122200000
5441430312141
635344022120
75621055000
oct1614324000
9547075183
10238135296
1111246a633
1267901940
133a44a179
14238ac000
1515d8d916
hexe31a800

238135296 has 192 divisors, whose sum is σ = 746928000. Its totient is φ = 67436544.

The previous prime is 238135283. The next prime is 238135301. The reversal of 238135296 is 692531832.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2107336 + ... + 2107448.

It is an arithmetic number, because the mean of its divisors is an integer number (3890250).

Almost surely, 2238135296 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 238135296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373464000).

238135296 is an abundant number, since it is smaller than the sum of its proper divisors (508792704).

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

238135296 is an equidigital number, since it uses as much as digits as its factorization.

238135296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 238135296 is about 15431.6329660863. The cubic root of 238135296 is about 619.8328512302.

The spelling of 238135296 in words is "two hundred thirty-eight million, one hundred thirty-five thousand, two hundred ninety-six".