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230130000 = 2432542557
BaseRepresentation
bin11011011011110…
…00000101010000
3121001000211000100
431231320011100
5432403130000
634500252400
75463033642
oct1555700520
9531024010
10230130000
111089a2091
12650a1100
13388a64c9
14227c6892
151530ba00
hexdb78150

230130000 has 150 divisors (see below), whose sum is σ = 805112594. Its totient is φ = 61344000.

The previous prime is 230129989. The next prime is 230130013. The reversal of 230130000 is 31032.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 98247744 + 131882256 = 9912^2 + 11484^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 29 ways as a sum of consecutive naturals, for example, 88722 + ... + 91278.

Almost surely, 2230130000 is an apocalyptic number.

230130000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402556297).

230130000 is an abundant number, since it is smaller than the sum of its proper divisors (574982594).

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

230130000 is a wasteful number, since it uses less digits than its factorization.

230130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2591 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 230130000 is about 15170.0362557246. The cubic root of 230130000 is about 612.8079806126.

Adding to 230130000 its reverse (31032), we get a palindrome (230161032).

The spelling of 230130000 in words is "two hundred thirty million, one hundred thirty thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 625 720 750 900 1000 1125 1200 1250 1500 1800 1875 2000 2250 2500 2557 3000 3600 3750 4500 5000 5114 5625 6000 7500 7671 9000 10000 10228 11250 12785 15000 15342 18000 20456 22500 23013 25570 30000 30684 38355 40912 45000 46026 51140 61368 63925 76710 90000 92052 102280 115065 122736 127850 153420 184104 191775 204560 230130 255700 306840 319625 368208 383550 460260 511400 575325 613680 639250 767100 920520 958875 1022800 1150650 1278500 1534200 1598125 1841040 1917750 2301300 2557000 2876625 3068400 3196250 3835500 4602600 4794375 5114000 5753250 6392500 7671000 9205200 9588750 11506500 12785000 14383125 15342000 19177500 23013000 25570000 28766250 38355000 46026000 57532500 76710000 115065000 230130000