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230302432205352 = 233213594170332323
BaseRepresentation
bin110100010111010101110110…
…101010011001101000101000
31010012102200211110212200022100
4310113111312222121220220
5220141233340121032402
62133451250552253400
766336541651235163
oct6427256652315050
91105380743780270
10230302432205352
116742179300a571
12219b61a26a1260
139b675703b03a0
1440c29a9156ada
151b95a64d1071c
hexd17576a99a28

230302432205352 has 96 divisors (see below), whose sum is σ = 683100434671200. Its totient is φ = 69661231106688.

The previous prime is 230302432205309. The next prime is 230302432205357. The reversal of 230302432205352 is 253502234203032.

230302432205352 is a `hidden beast` number, since 2 + 30 + 30 + 2 + 43 + 2 + 20 + 535 + 2 = 666.

230302432205352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (230302432205357) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2085110938 + ... + 2085221385.

It is an arithmetic number, because the mean of its divisors is an integer number (7115629527825).

Almost surely, 2230302432205352 is an apocalyptic number.

It is an amenable number.

230302432205352 is an abundant number, since it is smaller than the sum of its proper divisors (452798002465848).

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

230302432205352 is a wasteful number, since it uses less digits than its factorization.

230302432205352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4170332407 (or 4170332400 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 36.

Adding to 230302432205352 its reverse (253502234203032), we get a palindrome (483804666408384).

The spelling of 230302432205352 in words is "two hundred thirty trillion, three hundred two billion, four hundred thirty-two million, two hundred five thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 59 72 78 104 117 118 156 177 234 236 312 354 468 472 531 708 767 936 1062 1416 1534 2124 2301 3068 4248 4602 6136 6903 9204 13806 18408 27612 55224 4170332323 8340664646 12510996969 16681329292 25021993938 33362658584 37532990907 50043987876 54214320199 75065981814 100087975752 108428640398 150131963628 162642960597 216857280796 246049607057 300263927256 325285921194 433714561592 487928881791 492099214114 650571842388 738148821171 975857763582 984198428228 1301143684776 1476297642342 1951715527164 1968396856456 2214446463513 2952595284684 3198644891741 3903431054328 4428892927026 5905190569368 6397289783482 8857785854052 9595934675223 12794579566964 17715571708104 19191869350446 25589159133928 28787804025669 38383738700892 57575608051338 76767477401784 115151216102676 230302432205352