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230368064 = 263599501
BaseRepresentation
bin11011011101100…
…10001101000000
3121001110220120112
431232302031000
5432433234224
634505330452
75465045003
oct1556621500
9531426515
10230368064
11109044a33
1265196a28
133895a984
142284953a
151535730e
hexdbb2340

230368064 has 14 divisors (see below), whose sum is σ = 457136754. Its totient is φ = 115184000.

The previous prime is 230368013. The next prime is 230368067. The reversal of 230368064 is 460863032.

It can be written as a sum of positive squares in only one way, i.e., 213393664 + 16974400 = 14608^2 + 4120^2 .

It is a super-2 number, since 2×2303680642 = 106138889822216192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 230368064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230368067) 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 as a sum of consecutive naturals, namely, 1799687 + ... + 1799814.

Almost surely, 2230368064 is an apocalyptic number.

It is an amenable number.

230368064 is a deficient number, since it is larger than the sum of its proper divisors (226768690).

230368064 is an equidigital number, since it uses as much as digits as its factorization.

230368064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599513 (or 3599503 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 230368064 is about 15177.8807479832. The cubic root of 230368064 is about 613.0192195389.

The spelling of 230368064 in words is "two hundred thirty million, three hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 3599501 7199002 14398004 28796008 57592016 115184032 230368064