Search a number
-
+
230645688 = 233713105607
BaseRepresentation
bin11011011111101…
…01111110111000
3121002000000101220
431233311332320
5433021130223
634515312040
75500312260
oct1557657670
9532000356
10230645688
11109214579
12652ab620
1338a27150
14228bc7a0
15153ae6e3
hexdbf5fb8

230645688 has 64 divisors (see below), whose sum is σ = 709685760. Its totient is φ = 60829056.

The previous prime is 230645683. The next prime is 230645689. The reversal of 230645688 is 886546032.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230645683) 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, 50620 + ... + 54987.

It is an arithmetic number, because the mean of its divisors is an integer number (11088840).

Almost surely, 2230645688 is an apocalyptic number.

230645688 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

230645688 is an abundant number, since it is smaller than the sum of its proper divisors (479040072).

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

230645688 is a wasteful number, since it uses less digits than its factorization.

230645688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105636 (or 105632 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 230645688 is about 15187.0236715428. The cubic root of 230645688 is about 613.2653771064.

The spelling of 230645688 in words is "two hundred thirty million, six hundred forty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 105607 211214 316821 422428 633642 739249 844856 1267284 1372891 1478498 2217747 2534568 2745782 2956996 4118673 4435494 5491564 5913992 8237346 8870988 9610237 10983128 16474692 17741976 19220474 28830711 32949384 38440948 57661422 76881896 115322844 230645688