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230459710684 = 227536111232267
BaseRepresentation
bin1101011010100001111…
…0000001110011011100
3211000212010121022101011
43112220132001303130
512233440141220214
6253512143225004
722436002135150
oct3265036016334
9730763538334
10230459710684
1189812553715
12387b85a8164
1318969a00c18
14b2235d5060
155edc608ac4
hex35a8781cdc

230459710684 has 96 divisors (see below), whose sum is σ = 477950409216. Its totient is φ = 95189402880.

The previous prime is 230459710667. The next prime is 230459710703. The reversal of 230459710684 is 486017954032.

It is a happy number.

230459710684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2304597106842 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101657319 + ... + 101659585.

It is an arithmetic number, because the mean of its divisors is an integer number (4978650096).

It is a 1-persistent number, because it is pandigital, but 2⋅230459710684 = 460919421368 is not.

Almost surely, 2230459710684 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 230459710684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238975204608).

230459710684 is an abundant number, since it is smaller than the sum of its proper divisors (247490698532).

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

230459710684 is a wasteful number, since it uses less digits than its factorization.

230459710684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3515 (or 3513 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 230459710684 in words is "two hundred thirty billion, four hundred fifty-nine million, seven hundred ten thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 28 53 61 106 122 212 244 371 427 742 854 1123 1484 1708 2246 2267 3233 4492 4534 6466 7861 9068 12932 15722 15869 22631 31444 31738 45262 59519 63476 68503 90524 119038 120151 137006 138287 238076 240302 274012 276574 416633 479521 480604 553148 833266 841057 959042 968009 1666532 1682114 1918084 1936018 2545841 3364228 3630659 3872036 5091682 7261318 7329211 10183364 14522636 14658422 17820887 25414613 29316844 35641774 50829226 51304477 71283548 101658452 102608954 134929573 155296301 205217908 269859146 310592602 539718292 621185204 944507011 1087074107 1889014022 2174148214 3778028044 4348296428 8230703953 16461407906 32922815812 57614927671 115229855342 230459710684