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230783696 = 24111327759
BaseRepresentation
bin11011100000101…
…11101011010000
3121002021000201022
431300113223100
5433040034241
634522255012
75501425523
oct1560275320
9532230638
10230783696
111092a9230
1265357468
1338a74c00
1422916bba
15153da54b
hexdc17ad0

230783696 has 60 divisors (see below), whose sum is σ = 528269760. Its totient is φ = 96819840.

The previous prime is 230783669. The next prime is 230783701. The reversal of 230783696 is 696387032.

230783696 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 2×2307836962 = 106522228678840832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25865 + ... + 33623.

It is an arithmetic number, because the mean of its divisors is an integer number (8804496).

Almost surely, 2230783696 is an apocalyptic number.

230783696 is a gapful number since it is divisible by the number (26) 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 230783696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264134880).

230783696 is an abundant number, since it is smaller than the sum of its proper divisors (297486064).

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

230783696 is a wasteful number, since it uses less digits than its factorization.

230783696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7804 (or 7785 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 44.

The square root of 230783696 is about 15191.5666078255. The cubic root of 230783696 is about 613.3876695193.

The spelling of 230783696 in words is "two hundred thirty million, seven hundred eighty-three thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 169 176 208 286 338 572 676 1144 1352 1859 2288 2704 3718 7436 7759 14872 15518 29744 31036 62072 85349 100867 124144 170698 201734 341396 403468 682792 806936 1109537 1311271 1365584 1613872 2219074 2622542 4438148 5245084 8876296 10490168 14423981 17752592 20980336 28847962 57695924 115391848 230783696