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231516064 = 251317191723
BaseRepresentation
bin11011100110010…
…10011110100000
3121010122020100001
431303022132200
5433232003224
634550105344
75510565643
oct1563123640
9533566301
10231516064
1110975949a
126564b254
1338c70370
1422a67a5a
15154d2544
hexdcca7a0

231516064 has 96 divisors (see below), whose sum is σ = 547404480. Its totient is φ = 95219712.

The previous prime is 231516017. The next prime is 231516079. The reversal of 231516064 is 460615132.

231516064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133507 + ... + 135229.

It is an arithmetic number, because the mean of its divisors is an integer number (5702130).

Almost surely, 2231516064 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 231516064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273702240).

231516064 is an abundant number, since it is smaller than the sum of its proper divisors (315888416).

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

231516064 is a wasteful number, since it uses less digits than its factorization.

231516064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 231516064 is about 15215.6519413399. The cubic root of 231516064 is about 614.0358249918.

The spelling of 231516064 in words is "two hundred thirty-one million, five hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 13 16 17 19 26 32 34 38 52 68 76 104 136 152 208 221 247 272 304 323 416 442 494 544 608 646 884 988 1292 1723 1768 1976 2584 3446 3536 3952 4199 5168 6892 7072 7904 8398 10336 13784 16796 22399 27568 29291 32737 33592 44798 55136 58582 65474 67184 89596 117164 130948 134368 179192 234328 261896 358384 380783 425581 468656 523792 556529 716768 761566 851162 937312 1047584 1113058 1523132 1702324 2226116 3046264 3404648 4452232 6092528 6809296 7234877 8904464 12185056 13618592 14469754 17808928 28939508 57879016 115758032 231516064