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231808896 = 27321121663
BaseRepresentation
bin11011101000100…
…01111110000000
3121011012010000200
431310101332000
5433320341041
635000245200
75513225454
oct1564217600
9534163020
10231808896
11109939500
1265770800
1339043737
1422b02664
151553e1b6
hexdd11f80

231808896 has 144 divisors (see below), whose sum is σ = 733649280. Its totient is φ = 70202880.

The previous prime is 231808891. The next prime is 231808901. The reversal of 231808896 is 698808132.

It is an interprime number because it is at equal distance from previous prime (231808891) and next prime (231808901).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231808891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 138561 + ... + 140223.

Almost surely, 2231808896 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 231808896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366824640).

231808896 is an abundant number, since it is smaller than the sum of its proper divisors (501840384).

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

231808896 is a wasteful number, since it uses less digits than its factorization.

231808896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 231808896 is about 15225.2716231928. The cubic root of 231808896 is about 614.2946026889.

The spelling of 231808896 in words is "two hundred thirty-one million, eight hundred eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 121 128 132 144 176 192 198 242 264 288 352 363 384 396 484 528 576 704 726 792 968 1056 1089 1152 1408 1452 1584 1663 1936 2112 2178 2904 3168 3326 3872 4224 4356 4989 5808 6336 6652 7744 8712 9978 11616 12672 13304 14967 15488 17424 18293 19956 23232 26608 29934 34848 36586 39912 46464 53216 54879 59868 69696 73172 79824 106432 109758 119736 139392 146344 159648 164637 201223 212864 219516 239472 292688 319296 329274 402446 439032 478944 585376 603669 638592 658548 804892 878064 957888 1170752 1207338 1317096 1609784 1756128 1811007 1915776 2341504 2414676 2634192 3219568 3512256 3622014 4829352 5268384 6439136 7024512 7244028 9658704 10536768 12878272 14488056 19317408 21073536 25756544 28976112 38634816 57952224 77269632 115904448 231808896