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230243440 = 24573171297
BaseRepresentation
bin11011011100100…
…11110001110000
3121001020120121211
431232103301300
5432420242230
634502525504
75464015450
oct1556236160
9531216554
10230243440
11108a6a339
1265136894
133891602b
1422815d60
151533042a
hexdb93c70

230243440 has 80 divisors (see below), whose sum is σ = 614192832. Its totient is φ = 78630912.

The previous prime is 230243437. The next prime is 230243443. The reversal of 230243440 is 44342032.

It is an interprime number because it is at equal distance from previous prime (230243437) and next prime (230243443).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230243443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176872 + ... + 178168.

Almost surely, 2230243440 is an apocalyptic number.

230243440 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 230243440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307096416).

230243440 is an abundant number, since it is smaller than the sum of its proper divisors (383949392).

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

230243440 is a wasteful number, since it uses less digits than its factorization.

230243440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 230243440 is about 15173.7747446046. The cubic root of 230243440 is about 612.9086563436.

Adding to 230243440 its reverse (44342032), we get a palindrome (274585472).

The spelling of 230243440 in words is "two hundred thirty million, two hundred forty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 317 560 634 1268 1297 1585 2219 2536 2594 3170 4438 5072 5188 6340 6485 8876 9079 10376 11095 12680 12970 17752 18158 20752 22190 25360 25940 35504 36316 44380 45395 51880 72632 88760 90790 103760 145264 177520 181580 363160 411149 726320 822298 1644596 2055745 2878043 3289192 4111490 5756086 6578384 8222980 11512172 14390215 16445960 23024344 28780430 32891920 46048688 57560860 115121720 230243440