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230006016 = 283299829
BaseRepresentation
bin11011011010110…
…01110100000000
3121000210111221100
431231121310000
5432340143031
634453454400
75462006322
oct1555316400
9530714840
10230006016
11108917a19
1265041400
1338861c46
1422793612
15152d4de6
hexdb59d00

230006016 has 54 divisors (see below), whose sum is σ = 663170690. Its totient is φ = 76667904.

The previous prime is 230005999. The next prime is 230006027. The reversal of 230006016 is 610600032.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 204604416 + 25401600 = 14304^2 + 5040^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 230006016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 47611 + ... + 52218.

Almost surely, 2230006016 is an apocalyptic number.

It is an amenable number.

230006016 is an abundant number, since it is smaller than the sum of its proper divisors (433164674).

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

230006016 is an equidigital number, since it uses as much as digits as its factorization.

230006016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99851 (or 99834 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 230006016 is about 15165.9492284525. The cubic root of 230006016 is about 612.6979094451.

Adding to 230006016 its reverse (610600032), we get a palindrome (840606048).

The spelling of 230006016 in words is "two hundred thirty million, six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 99829 199658 299487 399316 598974 798632 898461 1197948 1597264 1796922 2395896 3194528 3593844 4791792 6389056 7187688 9583584 12778112 14375376 19167168 25556224 28750752 38334336 57501504 76668672 115003008 230006016