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230132000 = 255378219
BaseRepresentation
bin11011011011110…
…00100100100000
3121001000220202102
431231320210200
5432403211000
634500305532
75463042530
oct1555704440
9531026672
10230132000
111089a363a
12650a22a8
13388a73a7
14227c74c0
151530c3d5
hexdb78920

230132000 has 96 divisors (see below), whose sum is σ = 646289280. Its totient is φ = 78892800.

The previous prime is 230131981. The next prime is 230132093. The reversal of 230132000 is 231032.

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 15 ways as a sum of consecutive naturals, for example, 23891 + ... + 32109.

It is an arithmetic number, because the mean of its divisors is an integer number (6732180).

Almost surely, 2230132000 is an apocalyptic number.

230132000 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 230132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323144640).

230132000 is an abundant number, since it is smaller than the sum of its proper divisors (416157280).

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

230132000 is an equidigital number, since it uses as much as digits as its factorization.

230132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8251 (or 8233 counting only the distinct ones).

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

The square root of 230132000 is about 15170.1021750020. The cubic root of 230132000 is about 612.8097558591.

Adding to 230132000 its reverse (231032), we get a palindrome (230363032).

The spelling of 230132000 in words is "two hundred thirty million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 700 800 875 1000 1120 1400 1750 2000 2800 3500 4000 5600 7000 8219 14000 16438 28000 32876 41095 57533 65752 82190 115066 131504 164380 205475 230132 263008 287665 328760 410950 460264 575330 657520 821900 920528 1027375 1150660 1315040 1438325 1643800 1841056 2054750 2301320 2876650 3287600 4109500 4602640 5753300 6575200 7191625 8219000 9205280 11506600 14383250 16438000 23013200 28766500 32876000 46026400 57533000 115066000 230132000