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238230272 = 287373593
BaseRepresentation
bin11100011001100…
…01101100000000
3121121021100111102
432030301230000
5441441332042
635350033532
75621631620
oct1614615400
9547240442
10238230272
11112524a25
12679488a8
133a481477
14238d4880
1515dabb32
hexe331b00

238230272 has 72 divisors (see below), whose sum is σ = 558306336. Its totient is φ = 99311616.

The previous prime is 238230271. The next prime is 238230301. The reversal of 238230272 is 272032832.

It is not an unprimeable number, because it can be changed into a prime (238230271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64508 + ... + 68100.

Almost surely, 2238230272 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 238230272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279153168).

238230272 is an abundant number, since it is smaller than the sum of its proper divisors (320076064).

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

238230272 is an equidigital number, since it uses as much as digits as its factorization.

238230272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3653 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 238230272 is about 15434.7099745995. The cubic root of 238230272 is about 619.9152433567.

The spelling of 238230272 in words is "two hundred thirty-eight million, two hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 74 112 128 148 224 256 259 296 448 518 592 896 1036 1184 1792 2072 2368 3593 4144 4736 7186 8288 9472 14372 16576 25151 28744 33152 50302 57488 66304 100604 114976 132941 201208 229952 265882 402416 459904 531764 804832 919808 930587 1063528 1609664 1861174 2127056 3219328 3722348 4254112 6438656 7444696 8508224 14889392 17016448 29778784 34032896 59557568 119115136 238230272