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230524000 = 255378233
BaseRepresentation
bin11011011110110…
…00010001100000
3121001202211110221
431233120101200
5433003232000
634512532424
75466264430
oct1557302140
9531684427
10230524000
11109141103
1265251114
13389b3945
142288a2c0
151538861a
hexdbd8460

230524000 has 96 divisors (see below), whose sum is σ = 647390016. Its totient is φ = 79027200.

The previous prime is 230523983. The next prime is 230524003. The reversal of 230524000 is 425032.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230524003) 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 15 ways as a sum of consecutive naturals, for example, 23884 + ... + 32116.

It is an arithmetic number, because the mean of its divisors is an integer number (6743646).

Almost surely, 2230524000 is an apocalyptic number.

230524000 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 230524000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323695008).

230524000 is an abundant number, since it is smaller than the sum of its proper divisors (416866016).

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

230524000 is an equidigital number, since it uses as much as digits as its factorization.

230524000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8265 (or 8247 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 230524000 is about 15183.0168280220. The cubic root of 230524000 is about 613.1575057851.

Adding to 230524000 its reverse (425032), we get a palindrome (230949032).

The spelling of 230524000 in words is "two hundred thirty million, five hundred twenty-four 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 8233 14000 16466 28000 32932 41165 57631 65864 82330 115262 131728 164660 205825 230524 263456 288155 329320 411650 461048 576310 658640 823300 922096 1029125 1152620 1317280 1440775 1646600 1844192 2058250 2305240 2881550 3293200 4116500 4610480 5763100 6586400 7203875 8233000 9220960 11526200 14407750 16466000 23052400 28815500 32932000 46104800 57631000 115262000 230524000