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8230517800 = 2352234738069
BaseRepresentation
bin1111010101001001…
…11011110000101000
3210020121011121212121
413222210323300220
5113324003032200
63440412321024
7410650150501
oct75244736050
923217147777
108230517800
113543a0492a
121718473174
13a12223c9b
14581151ba8
15332881e1a
hex1ea93bc28

8230517800 has 96 divisors (see below), whose sum is σ = 20393337600. Its totient is φ = 3081985280.

The previous prime is 8230517797. The next prime is 8230517809. The reversal of 8230517800 is 87150328.

It is a super-2 number, since 2×82305178002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8230517809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 197166 + ... + 235234.

It is an arithmetic number, because the mean of its divisors is an integer number (212430600).

Almost surely, 28230517800 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 8230517800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10196668800).

8230517800 is an abundant number, since it is smaller than the sum of its proper divisors (12162819800).

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

8230517800 is a wasteful number, since it uses less digits than its factorization.

8230517800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38155 (or 38146 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 8230517800 is about 90722.2012519538. The cubic root of 8230517800 is about 2019.0282062180.

The spelling of 8230517800 in words is "eight billion, two hundred thirty million, five hundred seventeen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 47 50 92 94 100 115 184 188 200 230 235 376 460 470 575 920 940 1081 1150 1175 1880 2162 2300 2350 4324 4600 4700 5405 8648 9400 10810 21620 27025 38069 43240 54050 76138 108100 152276 190345 216200 304552 380690 761380 875587 951725 1522760 1751174 1789243 1903450 3502348 3578486 3806900 4377935 7004696 7156972 7613800 8755870 8946215 14313944 17511740 17892430 21889675 35023480 35784860 41152589 43779350 44731075 71569720 82305178 87558700 89462150 164610356 175117400 178924300 205762945 329220712 357848600 411525890 823051780 1028814725 1646103560 2057629450 4115258900 8230517800