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230440000 = 26547823
BaseRepresentation
bin11011011110000…
…11110001000000
3121001121120020211
431233003301000
5432443040000
634511043504
75465464510
oct1557036100
9531546224
10230440000
11109093a8a
1265210594
133898463b
1422867840
151536d7ba
hexdbc3c40

230440000 has 140 divisors (see below), whose sum is σ = 653840704. Its totient is φ = 78912000.

The previous prime is 230439997. The next prime is 230440009. The reversal of 230440000 is 44032.

It is a tau number, because it is divible by the number of its divisors (140).

It is not an unprimeable number, because it can be changed into a prime (230440009) 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 19 ways as a sum of consecutive naturals, for example, 279589 + ... + 280411.

Almost surely, 2230440000 is an apocalyptic number.

230440000 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 230440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326920352).

230440000 is an abundant number, since it is smaller than the sum of its proper divisors (423400704).

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

230440000 is an frugal number, since it uses more digits than its factorization.

230440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 230440000 is about 15180.2503273167. The cubic root of 230440000 is about 613.0830211505.

Adding to 230440000 its reverse (44032), we get a palindrome (230484032).

It can be divided in two parts, 2304 and 40000, that multiplied together give a square (92160000 = 96002).

The spelling of 230440000 in words is "two hundred thirty million, four hundred forty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 625 700 800 823 875 1000 1120 1250 1400 1600 1646 1750 2000 2240 2500 2800 3292 3500 4000 4115 4375 5000 5600 5761 6584 7000 8000 8230 8750 10000 11200 11522 13168 14000 16460 17500 20000 20575 23044 26336 28000 28805 32920 35000 40000 41150 46088 52672 56000 57610 65840 70000 82300 92176 102875 115220 131680 140000 144025 164600 184352 205750 230440 263360 280000 288050 329200 368704 411500 460880 514375 576100 658400 720125 823000 921760 1028750 1152200 1316800 1440250 1646000 1843520 2057500 2304400 2880500 3292000 3600625 4115000 4608800 5761000 6584000 7201250 8230000 9217600 11522000 14402500 16460000 23044000 28805000 32920000 46088000 57610000 115220000 230440000