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230566424665032 = 23338312860688569
BaseRepresentation
bin110100011011001011101101…
…110101101101101111001000
31010020100221020120021010122000
4310123023231311231233020
5220210100014203240112
62134212430411031000
766364605641150061
oct6433135565555710
91106327216233560
10230566424665032
1167513742961885
1221a3939913b460
139b8642233b001
1440d169003b568
151b9c86626d7dc
hexd1b2edd6dbc8

230566424665032 has 64 divisors (see below), whose sum is σ = 648178703928000. Its totient is φ = 75929505305472.

The previous prime is 230566424665021. The next prime is 230566424665079.

230566424665032 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 66 + 42 + 466 + 50 + 32 = 666.

230566424665032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2305664246650322 (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 230566424665032.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6430326357 + ... + 6430362212.

It is an arithmetic number, because the mean of its divisors is an integer number (10127792248875).

Almost surely, 2230566424665032 is an apocalyptic number.

It is an amenable number.

230566424665032 is an abundant number, since it is smaller than the sum of its proper divisors (417612279262968).

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

230566424665032 is a wasteful number, since it uses less digits than its factorization.

230566424665032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12860688667 (or 12860688657 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 54.

The spelling of 230566424665032 in words is "two hundred thirty trillion, five hundred sixty-six billion, four hundred twenty-four million, six hundred sixty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 83 108 166 216 249 332 498 664 747 996 1494 1992 2241 2988 4482 5976 8964 17928 12860688569 25721377138 38582065707 51442754276 77164131414 102885508552 115746197121 154328262828 231492394242 308656525656 347238591363 462984788484 694477182726 925969576968 1067437151227 1388954365452 2134874302454 2777908730904 3202311453681 4269748604908 6404622907362 8539497209816 9606934361043 12809245814724 19213868722086 25618491629448 28820803083129 38427737444172 57641606166258 76855474888344 115283212332516 230566424665032