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230986764 = 223247211647
BaseRepresentation
bin11011100010010…
…01010000001100
3121002122100021100
431301021100030
5433113034024
634530503100
75503232541
oct1561112014
9532570240
10230986764
11109427858
1265434a90
1338b16478
142296abc8
151542a7c9
hexdc4940c

230986764 has 72 divisors (see below), whose sum is σ = 600058368. Its totient is φ = 74884320.

The previous prime is 230986751. The next prime is 230986771. The reversal of 230986764 is 467689032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356689 + ... + 357335.

It is an arithmetic number, because the mean of its divisors is an integer number (8334144).

Almost surely, 2230986764 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 230986764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300029184).

230986764 is an abundant number, since it is smaller than the sum of its proper divisors (369071604).

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

230986764 is a wasteful number, since it uses less digits than its factorization.

230986764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 230986764 is about 15198.2487149013. The cubic root of 230986764 is about 613.5675246444.

The spelling of 230986764 in words is "two hundred thirty million, nine hundred eighty-six thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 211 282 422 423 564 633 647 844 846 1266 1294 1692 1899 1941 2532 2588 3798 3882 5823 7596 7764 9917 11646 19834 23292 29751 30409 39668 59502 60818 89253 91227 119004 121636 136517 178506 182454 273034 273681 357012 364908 409551 546068 547362 819102 1094724 1228653 1638204 2457306 4914612 6416299 12832598 19248897 25665196 38497794 57746691 76995588 115493382 230986764