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231544768 = 2671383479
BaseRepresentation
bin11011100110100…
…01011111000000
3121010200200201011
431303101133000
5433233413033
634550450304
75511045430
oct1563213700
9533620634
10231544768
11109779014
1265663994
1338c80450
1422a742c0
15154daccd
hexdcd17c0

231544768 has 112 divisors (see below), whose sum is σ = 573511680. Its totient is φ = 90307584.

The previous prime is 231544763. The next prime is 231544769. The reversal of 231544768 is 867445132.

231544768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2315447682 = 107225959176347648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 231544768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231544763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483153 + ... + 483631.

It is an arithmetic number, because the mean of its divisors is an integer number (5120640).

Almost surely, 2231544768 is an apocalyptic number.

231544768 is a gapful number since it is divisible by the number (28) 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 231544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286755840).

231544768 is an abundant number, since it is smaller than the sum of its proper divisors (341966912).

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

231544768 is a wasteful number, since it uses less digits than its factorization.

231544768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 584 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 231544768 is about 15216.5951513471. The cubic root of 231544768 is about 614.0612005614.

The spelling of 231544768 in words is "two hundred thirty-one million, five hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 83 91 104 112 166 182 208 224 332 364 416 448 479 581 664 728 832 958 1079 1162 1328 1456 1916 2158 2324 2656 2912 3353 3832 4316 4648 5312 5824 6227 6706 7553 7664 8632 9296 12454 13412 15106 15328 17264 18592 24908 26824 30212 30656 34528 37184 39757 43589 49816 53648 60424 69056 79514 87178 99632 107296 120848 159028 174356 199264 214592 241696 278299 318056 348712 398528 483392 516841 556598 636112 697424 1033682 1113196 1272224 1394848 2067364 2226392 2544448 2789696 3617887 4134728 4452784 7235774 8269456 8905568 14471548 16538912 17811136 28943096 33077824 57886192 115772384 231544768