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230847600 = 24352192373
BaseRepresentation
bin11011100001001…
…11010001110000
3121002101021101010
431300213101300
5433044110400
634523510520
75502113034
oct1560472160
9532337333
10230847600
11109342245
1265388440
1338a98019
14229321c4
15153ee450
hexdc27470

230847600 has 60 divisors (see below), whose sum is σ = 739485656. Its totient is φ = 61559040.

The previous prime is 230847599. The next prime is 230847601. The reversal of 230847600 is 6748032.

It is an interprime number because it is at equal distance from previous prime (230847599) and next prime (230847601).

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×2308476002 = 106581228851520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230847601) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 94987 + ... + 97386.

Almost surely, 2230847600 is an apocalyptic number.

230847600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230847600 is an abundant number, since it is smaller than the sum of its proper divisors (508638056).

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

230847600 is a wasteful number, since it uses less digits than its factorization.

230847600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192394 (or 192383 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 230847600 is about 15193.6697344651. The cubic root of 230847600 is about 613.4442799715. Note that the first 3 decimals are identical.

The spelling of 230847600 in words is "two hundred thirty million, eight hundred forty-seven thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 192373 384746 577119 769492 961865 1154238 1538984 1923730 2308476 2885595 3077968 3847460 4616952 4809325 5771190 7694920 9233904 9618650 11542380 14427975 15389840 19237300 23084760 28855950 38474600 46169520 57711900 76949200 115423800 230847600