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230682042 = 232231134931
BaseRepresentation
bin11011011111111…
…10110110111010
3121002001212021100
431233332312322
5433023311132
634520152230
75500523253
oct1557766672
9532055240
10230682042
11109239918
1265308676
1338a3a866
14228cbb2a
15153ba37c
hexdbfedba

230682042 has 48 divisors (see below), whose sum is σ = 526264128. Its totient is φ = 72885120.

The previous prime is 230682029. The next prime is 230682047. The reversal of 230682042 is 240286032.

It is a junction number, because it is equal to n+sod(n) for n = 230681997 and 230682015.

It is not an unprimeable number, because it can be changed into a prime (230682047) 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, 44317 + ... + 49247.

It is an arithmetic number, because the mean of its divisors is an integer number (10963836).

Almost surely, 2230682042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230682042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263132064).

230682042 is an abundant number, since it is smaller than the sum of its proper divisors (295582086).

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

230682042 is a wasteful number, since it uses less digits than its factorization.

230682042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5075 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 230682042 is about 15188.2205014281. The cubic root of 230682042 is about 613.2975960457.

It can be divided in two parts, 2306 and 82042, that added together give a palindrome (84348).

The spelling of 230682042 in words is "two hundred thirty million, six hundred eighty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 113 138 207 226 339 414 678 1017 2034 2599 4931 5198 7797 9862 14793 15594 23391 29586 44379 46782 88758 113413 226826 340239 557203 680478 1020717 1114406 1671609 2041434 3343218 5014827 10029654 12815669 25631338 38447007 76894014 115341021 230682042