Search a number
-
+
230028763146 = 23721364393601
BaseRepresentation
bin1101011000111011001…
…0000110000000001010
3210222202002200220111020
43112032302012000022
512232044330410041
6253401310413310
722422220140300
oct3261662060012
9728662626436
10230028763146
1189611270426
12386b8201236
13188cb645290
14b1c2296270
155eb4880866
hex358ec8600a

230028763146 has 96 divisors (see below), whose sum is σ = 577238292288. Its totient is φ = 60571929600.

The previous prime is 230028763099. The next prime is 230028763183. The reversal of 230028763146 is 641367820032.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 230028763098 and 230028763107.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2410746 + ... + 2504346.

It is an arithmetic number, because the mean of its divisors is an integer number (6012898878).

Almost surely, 2230028763146 is an apocalyptic number.

230028763146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230028763146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288619146144).

230028763146 is an abundant number, since it is smaller than the sum of its proper divisors (347209529142).

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

230028763146 is a wasteful number, since it uses less digits than its factorization.

230028763146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94276 (or 94269 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 230028763146 in words is "two hundred thirty billion, twenty-eight million, seven hundred sixty-three thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 643 1274 1286 1911 1929 3822 3858 4501 8359 9002 13503 16718 25077 27006 31507 50154 58513 63014 93601 94521 117026 175539 187202 189042 280803 351078 409591 561606 655207 819182 1216813 1228773 1310414 1965621 2433626 2457546 3650439 3931242 4586449 7300878 8517691 9172898 13759347 17035382 25553073 27518694 51106146 59623837 60185443 119247674 120370886 178871511 180556329 357743022 361112658 421298101 782410759 842596202 1263894303 1564821518 2347232277 2527788606 2949086707 4694464554 5476875313 5898173414 8847260121 10953750626 16430625939 17694520242 32861251878 38338127191 76676254382 115014381573 230028763146