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230114682 = 236723221
BaseRepresentation
bin11011011011101…
…00010101111010
3121001000001000000
431231310111322
5432402132212
634500053430
75462641200
oct1555642572
9531001000
10230114682
11108991626
1265094276
133889c545
14227c1070
15153071dc
hexdb7457a

230114682 has 84 divisors (see below), whose sum is σ = 602201466. Its totient is φ = 65726640.

The previous prime is 230114657. The next prime is 230114741. The reversal of 230114682 is 286411032.

It can be written as a sum of positive squares in only one way, i.e., 170067681 + 60047001 = 13041^2 + 7749^2 .

It is a super-2 number, since 2×2301146822 = 105905533743922248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 69832 + ... + 73052.

Almost surely, 2230114682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230114682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301100733).

230114682 is an abundant number, since it is smaller than the sum of its proper divisors (372086784).

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

230114682 is an equidigital number, since it uses as much as digits as its factorization.

230114682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3255 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 230114682 is about 15169.5313704808. The cubic root of 230114682 is about 612.7943836588.

The spelling of 230114682 in words is "two hundred thirty million, one hundred fourteen thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 567 729 882 1134 1323 1458 1701 2646 3221 3402 3969 5103 6442 7938 9663 10206 11907 19326 22547 23814 28989 35721 45094 57978 67641 71442 86967 135282 157829 173934 202923 260901 315658 405846 473487 521802 608769 782703 946974 1217538 1420461 1565406 1826307 2348109 2840922 3652614 4261383 4696218 5478921 8522766 10957842 12784149 16436763 25568298 32873526 38352447 76704894 115057341 230114682