Search a number
-
+
230995248 = 243114011091
BaseRepresentation
bin11011100010010…
…11010100110000
3121002122202220120
431301023110300
5433113321443
634531010240
75503266351
oct1561132460
9532582816
10230995248
11109433170
1265439980
1338b1a2a3
142296dd28
151542d083
hexdc4b530

230995248 has 80 divisors (see below), whose sum is σ = 653208192. Its totient is φ = 69760000.

The previous prime is 230995241. The next prime is 230995283. The reversal of 230995248 is 842599032.

It is not an unprimeable number, because it can be changed into a prime (230995241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211183 + ... + 212273.

Almost surely, 2230995248 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 230995248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326604096).

230995248 is an abundant number, since it is smaller than the sum of its proper divisors (422212944).

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

230995248 is a wasteful number, since it uses less digits than its factorization.

230995248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 230995248 is about 15198.5278234440. The cubic root of 230995248 is about 613.5750365368.

The spelling of 230995248 in words is "two hundred thirty million, nine hundred ninety-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 401 528 802 1091 1203 1604 2182 2406 3208 3273 4364 4411 4812 6416 6546 8728 8822 9624 12001 13092 13233 17456 17644 19248 24002 26184 26466 35288 36003 48004 52368 52932 70576 72006 96008 105864 144012 192016 211728 288024 437491 576048 874982 1312473 1749964 2624946 3499928 4812401 5249892 6999856 9624802 10499784 14437203 19249604 20999568 28874406 38499208 57748812 76998416 115497624 230995248