Search a number
-
+
230441000 = 2353474903
BaseRepresentation
bin11011011110001…
…00000000101000
3121001121121121212
431233010000220
5432443103000
634511052252
75465500436
oct1557040050
9531547555
10230441000
11109094809
1265211088
1338984c2a
1422867d56
151536dc35
hexdbc4028

230441000 has 64 divisors (see below), whose sum is σ = 550817280. Its totient is φ = 90196800.

The previous prime is 230440997. The next prime is 230441021. The reversal of 230441000 is 144032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44549 + ... + 49451.

It is an arithmetic number, because the mean of its divisors is an integer number (8606520).

Almost surely, 2230441000 is an apocalyptic number.

230441000 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 230441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275408640).

230441000 is an abundant number, since it is smaller than the sum of its proper divisors (320376280).

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

230441000 is a wasteful number, since it uses less digits than its factorization.

230441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4971 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 230441000 is about 15180.2832648143. The cubic root of 230441000 is about 613.0839079788.

Adding to 230441000 its reverse (144032), we get a palindrome (230585032).

The spelling of 230441000 in words is "two hundred thirty million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 47 50 94 100 125 188 200 235 250 376 470 500 940 1000 1175 1880 2350 4700 4903 5875 9400 9806 11750 19612 23500 24515 39224 47000 49030 98060 122575 196120 230441 245150 460882 490300 612875 921764 980600 1152205 1225750 1843528 2304410 2451500 4608820 4903000 5761025 9217640 11522050 23044100 28805125 46088200 57610250 115220500 230441000