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230482000 = 24537101163
BaseRepresentation
bin11011011110011…
…10000001010000
3121001200200212101
431233032001100
5433000411000
634512010144
75466031120
oct1557160120
9531620771
10230482000
111091125a1
1265230954
133899a7a8
1422878c80
151537ae6a
hexdbce050

230482000 has 160 divisors (see below), whose sum is σ = 647172864. Its totient is φ = 77760000.

The previous prime is 230481941. The next prime is 230482061. The reversal of 230482000 is 284032.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 1413919 + ... + 1414081.

Almost surely, 2230482000 is an apocalyptic number.

230482000 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 230482000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323586432).

230482000 is an abundant number, since it is smaller than the sum of its proper divisors (416690864).

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

230482000 is a wasteful number, since it uses less digits than its factorization.

230482000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 230482000 is about 15181.6336406857. The cubic root of 230482000 is about 613.1202657300.

The spelling of 230482000 in words is "two hundred thirty million, four hundred eighty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 101 112 125 140 163 175 200 202 250 280 326 350 400 404 500 505 560 652 700 707 808 815 875 1000 1010 1141 1304 1400 1414 1616 1630 1750 2000 2020 2282 2525 2608 2800 2828 3260 3500 3535 4040 4075 4564 5050 5656 5705 6520 7000 7070 8080 8150 9128 10100 11312 11410 12625 13040 14000 14140 16300 16463 17675 18256 20200 20375 22820 25250 28280 28525 32600 32926 35350 40400 40750 45640 50500 56560 57050 65200 65852 70700 81500 82315 88375 91280 101000 114100 115241 131704 141400 142625 163000 164630 176750 202000 228200 230482 263408 282800 285250 326000 329260 353500 411575 456400 460964 570500 576205 658520 707000 823150 921928 1141000 1152410 1317040 1414000 1646300 1843856 2057875 2282000 2304820 2881025 3292600 4115750 4609640 5762050 6585200 8231500 9219280 11524100 14405125 16463000 23048200 28810250 32926000 46096400 57620500 115241000 230482000