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230679444681 = 3272228712
BaseRepresentation
bin1101011011010110010…
…0001111110011001001
3211001102110001221202100
43112311210033303021
512234412414212211
6253550033024013
722444310633100
oct3266544176311
9731373057670
10230679444681
1189915595064
123885a0b5009
13189a33a753a
14b244873037
156001a60156
hex35b590fcc9

230679444681 has 27 divisors (see below), whose sum is σ = 387621185133. Its totient is φ = 131811062040.

The previous prime is 230679444659. The next prime is 230679444713. The reversal of 230679444681 is 186444976032.

The square root of 230679444681 is 480291.

It is a perfect power (a square), and thus also a powerful number.

230679444681 is a `hidden beast` number, since 2 + 30 + 6 + 7 + 94 + 446 + 81 = 666.

It is a de Polignac number, because none of the positive numbers 2k-230679444681 is a prime.

It is a super-2 number, since 2×2306794446812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230679444601) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10074676 + ... + 10097546.

Almost surely, 2230679444681 is an apocalyptic number.

230679444681 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

230679444681 is the 480291-st square number.

230679444681 is the 240146-th centered octagonal number.

It is an amenable number.

230679444681 is a deficient number, since it is larger than the sum of its proper divisors (156941740452).

230679444681 is an frugal number, since it uses more digits than its factorization.

230679444681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45762 (or 22881 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 230679444681 in words is "two hundred thirty billion, six hundred seventy-nine million, four hundred forty-four thousand, six hundred eighty-one".

Divisors: 1 3 7 9 21 49 63 147 441 22871 68613 160097 205839 480291 1120679 1440873 3362037 10086111 523082641 1569247923 3661578487 4707743769 10984735461 25631049409 32954206383 76893148227 230679444681