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230443020 = 2232519431567
BaseRepresentation
bin11011011110001…
…00100000001100
3121001121201101200
431233010200030
5432443134040
634511105500
75465506353
oct1557044014
9531551350
10230443020
11109096285
1265212290
1338985b22
142286899a
151536e630
hexdbc480c

230443020 has 144 divisors (see below), whose sum is σ = 753392640. Its totient is φ = 56827008.

The previous prime is 230443009. The next prime is 230443027. The reversal of 230443020 is 20344032.

230443020 is a `hidden beast` number, since 230 + 4 + 430 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230442984 and 230443002.

It is not an unprimeable number, because it can be changed into a prime (230443027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146277 + ... + 147843.

Almost surely, 2230443020 is an apocalyptic number.

230443020 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 230443020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376696320).

230443020 is an abundant number, since it is smaller than the sum of its proper divisors (522949620).

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

230443020 is a wasteful number, since it uses less digits than its factorization.

230443020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 230443020 is about 15180.3497983413. The cubic root of 230443020 is about 613.0856993641.

Adding to 230443020 its reverse (20344032), we get a palindrome (250787052).

The spelling of 230443020 in words is "two hundred thirty million, four hundred forty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 43 45 57 60 76 86 90 95 114 129 171 172 180 190 215 228 258 285 342 380 387 430 516 570 645 684 774 817 855 860 1140 1290 1548 1567 1634 1710 1935 2451 2580 3134 3268 3420 3870 4085 4701 4902 6268 7353 7740 7835 8170 9402 9804 12255 14103 14706 15670 16340 18804 23505 24510 28206 29412 29773 31340 36765 47010 49020 56412 59546 67381 70515 73530 89319 94020 119092 134762 141030 147060 148865 178638 202143 267957 269524 282060 297730 336905 357276 404286 446595 535914 595460 606429 673810 808572 893190 1010715 1071828 1212858 1280239 1339785 1347620 1786380 2021430 2425716 2560478 2679570 3032145 3840717 4042860 5120956 5359140 6064290 6401195 7681434 11522151 12128580 12802390 15362868 19203585 23044302 25604780 38407170 46088604 57610755 76814340 115221510 230443020