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230312000 = 265328789
BaseRepresentation
bin11011011101001…
…00100001000000
3121001101001200002
431232210201000
5432424441000
634504215132
75464422362
oct1556444100
9531331602
10230312000
111090068a6
126516a4a8
133893b2b9
1422832d32
15153458d5
hexdba4840

230312000 has 56 divisors (see below), whose sum is σ = 570387480. Its totient is φ = 92121600.

The previous prime is 230311931. The next prime is 230312003. The reversal of 230312000 is 213032.

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 230310976 = 32^2 + 15176^2 .

It is not an unprimeable number, because it can be changed into a prime (230312003) 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, 6395 + ... + 22394.

Almost surely, 2230312000 is an apocalyptic number.

230312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230312000 is an abundant number, since it is smaller than the sum of its proper divisors (340075480).

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

230312000 is an equidigital number, since it uses as much as digits as its factorization.

230312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28816 (or 28796 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 230312000 is about 15176.0337374427. The cubic root of 230312000 is about 612.9694859410.

Adding to 230312000 its reverse (213032), we get a palindrome (230525032).

The spelling of 230312000 in words is "two hundred thirty million, three hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 28789 57578 115156 143945 230312 287890 460624 575780 719725 921248 1151560 1439450 1842496 2303120 2878900 3598625 4606240 5757800 7197250 9212480 11515600 14394500 23031200 28789000 46062400 57578000 115156000 230312000