[go: up one dir, main page]

Search a number
-
+
230255648 = 2578231249
BaseRepresentation
bin11011011100101…
…10110000100000
3121001021012100222
431232112300200
5432421140043
634503102212
75464066160
oct1556266040
9531235328
10230255648
11108a78527
1265141968
133891b75c
142281a5a0
1515333d68
hexdb96c20

230255648 has 48 divisors (see below), whose sum is σ = 519120000. Its totient is φ = 98482176.

The previous prime is 230255647. The next prime is 230255671. The reversal of 230255648 is 846552032.

230255648 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (230255647) 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 7 ways as a sum of consecutive naturals, for example, 183728 + ... + 184976.

It is an arithmetic number, because the mean of its divisors is an integer number (10815000).

Almost surely, 2230255648 is an apocalyptic number.

230255648 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

230255648 is an abundant number, since it is smaller than the sum of its proper divisors (288864352).

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

230255648 is a wasteful number, since it uses less digits than its factorization.

230255648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 230255648 is about 15174.1770122798. The cubic root of 230255648 is about 612.9194887285.

The spelling of 230255648 in words is "two hundred thirty million, two hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 823 1249 1646 2498 3292 4996 5761 6584 8743 9992 11522 13168 17486 19984 23044 26336 34972 39968 46088 69944 92176 139888 184352 279776 1027927 2055854 4111708 7195489 8223416 14390978 16446832 28781956 32893664 57563912 115127824 230255648