Search a number
-
+
230088012 = 223711435791
BaseRepresentation
bin11011011011011…
…01110101001100
3121000221200102020
431231231311030
5432400304022
634455330140
75462500350
oct1555556514
9530850366
10230088012
11108973590
1265080950
133889036b
14227b5460
15152ee35c
hexdb6dd4c

230088012 has 96 divisors (see below), whose sum is σ = 685031424. Its totient is φ = 58363200.

The previous prime is 230088011. The next prime is 230088017. The reversal of 230088012 is 210880032.

It is a super-2 number, since 2×2300880122 = 105880986532224288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230088011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 36837 + ... + 42627.

It is an arithmetic number, because the mean of its divisors is an integer number (7135744).

Almost surely, 2230088012 is an apocalyptic number.

230088012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230088012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342515712).

230088012 is an abundant number, since it is smaller than the sum of its proper divisors (454943412).

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

230088012 is a wasteful number, since it uses less digits than its factorization.

230088012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5859 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 230088012 is about 15168.6522802786. The cubic root of 230088012 is about 612.7707087134.

The spelling of 230088012 in words is "two hundred thirty million, eighty-eight thousand, twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 43 44 66 77 84 86 129 132 154 172 231 258 301 308 462 473 516 602 903 924 946 1204 1419 1806 1892 2838 3311 3612 5676 5791 6622 9933 11582 13244 17373 19866 23164 34746 39732 40537 63701 69492 81074 121611 127402 162148 191103 243222 249013 254804 382206 445907 486444 498026 747039 764412 891814 996052 1337721 1494078 1743091 1783628 2675442 2739143 2988156 3486182 5229273 5350884 5478286 6972364 8217429 10458546 10956572 16434858 19174001 20917092 32869716 38348002 57522003 76696004 115044006 230088012