Search a number
-
+
230464314 = 23288114533
BaseRepresentation
bin11011011110010…
…01101100111010
3121001122210121100
431233021230322
5432444324224
634511352230
75465625423
oct1557115472
9531583540
10230464314
11109100283
1265222676
1338992722
142287264a
1515375ac9
hexdbc9b3a

230464314 has 24 divisors (see below), whose sum is σ = 499940532. Its totient is φ = 76728960.

The previous prime is 230464313. The next prime is 230464327. The reversal of 230464314 is 413464032.

230464314 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 643 + 14 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 225991089 + 4473225 = 15033^2 + 2115^2 .

It is a super-2 number, since 2×2304643142 = 106227600054981192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230464313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8592 + ... + 23124.

Almost surely, 2230464314 is an apocalyptic number.

230464314 is an abundant number, since it is smaller than the sum of its proper divisors (269476218).

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

230464314 is a wasteful number, since it uses less digits than its factorization.

230464314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15422 (or 15419 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 230464314 is about 15181.0511493770. The cubic root of 230464314 is about 613.1045827664.

The spelling of 230464314 in words is "two hundred thirty million, four hundred sixty-four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 881 1762 2643 5286 7929 14533 15858 29066 43599 87198 130797 261594 12803573 25607146 38410719 76821438 115232157 230464314