Search a number
-
+
230470912 = 287219967
BaseRepresentation
bin11011011110010…
…11010100000000
3121001200010122201
431233023110000
5433000032122
634511442544
75465653600
oct1557132400
9531603581
10230470912
11109105231
1265226454
1338995729
1422874c00
1515377a27
hexdbcb500

230470912 has 108 divisors (see below), whose sum is σ = 563898720. Its totient is φ = 93477888.

The previous prime is 230470901. The next prime is 230470937. The reversal of 230470912 is 219074032.

It is a super-2 number, since 2×2304709122 = 106233682556223488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 11 ways as a sum of consecutive naturals, for example, 237853 + ... + 238819.

Almost surely, 2230470912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230470912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281949360).

230470912 is an abundant number, since it is smaller than the sum of its proper divisors (333427808).

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

230470912 is an equidigital number, since it uses as much as digits as its factorization.

230470912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 230470912 is about 15181.2684582020. The cubic root of 230470912 is about 613.1104336006.

The spelling of 230470912 in words is "two hundred thirty million, four hundred seventy thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 49 56 64 76 98 112 128 133 152 196 224 256 266 304 392 448 532 608 784 896 931 967 1064 1216 1568 1792 1862 1934 2128 2432 3136 3724 3868 4256 4864 6272 6769 7448 7736 8512 12544 13538 14896 15472 17024 18373 27076 29792 30944 34048 36746 47383 54152 59584 61888 73492 94766 108304 119168 123776 128611 146984 189532 216608 238336 247552 257222 293968 379064 433216 514444 587936 758128 866432 900277 1028888 1175872 1516256 1732864 1800554 2057776 2351744 3032512 3601108 4115552 4703488 6065024 7202216 8231104 12130048 14404432 16462208 28808864 32924416 57617728 115235456 230470912