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231058048 = 2713191727
BaseRepresentation
bin11011100010110…
…10101010000000
3121002202222001111
431301122222000
5433122324143
634532213104
75503650424
oct1561325200
9532688044
10231058048
11109476371
126546a194
1338b3ca50
1422988b84
151544199d
hexdc5aa80

231058048 has 64 divisors (see below), whose sum is σ = 499000320. Its totient is φ = 105937920.

The previous prime is 231058043. The next prime is 231058099. The reversal of 231058048 is 840850132.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (231058043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317461 + ... + 318187.

It is an arithmetic number, because the mean of its divisors is an integer number (7796880).

Almost surely, 2231058048 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 231058048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249500160).

231058048 is an abundant number, since it is smaller than the sum of its proper divisors (267942272).

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

231058048 is a wasteful number, since it uses less digits than its factorization.

231058048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 945 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 231058048 is about 15200.5936726169. The cubic root of 231058048 is about 613.6306351133.

The spelling of 231058048 in words is "two hundred thirty-one million, fifty-eight thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 191 208 382 416 727 764 832 1454 1528 1664 2483 2908 3056 4966 5816 6112 9451 9932 11632 12224 18902 19864 23264 24448 37804 39728 46528 75608 79456 93056 138857 151216 158912 277714 302432 317824 555428 604864 1110856 1209728 1805141 2221712 3610282 4443424 7220564 8886848 14441128 17773696 28882256 57764512 115529024 231058048