Search a number
-
+
230896837008 = 24335910398719
BaseRepresentation
bin1101011100001010000…
…1100010000110010000
3211001222121010121222000
43113002201202012100
512240334042241013
6254023400314000
722452560506005
oct3270241420620
9731877117860
10230896837008
1189a17277142
12388baa72900
1318a09441056
14b2656a18ac
156015ba2973
hex35c2862190

230896837008 has 160 divisors (see below), whose sum is σ = 674718720000. Its totient is φ = 75579619968.

The previous prime is 230896836991. The next prime is 230896837009. The reversal of 230896837008 is 800738698032.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (230896837009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26477673 + ... + 26486391.

It is an arithmetic number, because the mean of its divisors is an integer number (4216992000).

Almost surely, 2230896837008 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 230896837008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337359360000).

230896837008 is an abundant number, since it is smaller than the sum of its proper divisors (443821882992).

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

230896837008 is a wasteful number, since it uses less digits than its factorization.

230896837008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9834 (or 9822 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 230896837008 in words is "two hundred thirty billion, eight hundred ninety-six million, eight hundred thirty-seven thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 108 118 144 177 216 236 354 432 472 531 708 944 1039 1062 1416 1593 2078 2124 2832 3117 3186 4156 4248 6234 6372 8312 8496 8719 9351 12468 12744 16624 17438 18702 24936 25488 26157 28053 34876 37404 49872 52314 56106 61301 69752 74808 78471 104628 112212 122602 139504 149616 156942 183903 209256 224424 235413 245204 313884 367806 418512 448848 470826 490408 514421 551709 627768 735612 941652 980816 1028842 1103418 1255536 1471224 1543263 1655127 1883304 2057684 2206836 2942448 3086526 3310254 3766608 4115368 4413672 4629789 6173052 6620508 8230736 8827344 9059041 9259578 12346104 13241016 13889367 18118082 18519156 24692208 26482032 27177123 27778734 36236164 37038312 54354246 55557468 72472328 74076624 81531369 108708492 111114936 144944656 163062738 217416984 222229872 244594107 326125476 434833968 489188214 534483419 652250952 978376428 1068966838 1304501904 1603450257 1956752856 2137933676 3206900514 3913505712 4275867352 4810350771 6413801028 8551734704 9620701542 12827602056 14431052313 19241403084 25655204112 28862104626 38482806168 57724209252 76965612336 115448418504 230896837008