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224640009 = 32112206281
BaseRepresentation
bin11010110001110…
…11110000001001
3120122200220011100
431120323300021
5430001440014
634142452013
75365260066
oct1530736011
9518626140
10224640009
11105892400
1263294009
13377036a9
1421b97c6d
1514ac5009
hexd63bc09

224640009 has 18 divisors (see below), whose sum is σ = 356661578. Its totient is φ = 136144800.

The previous prime is 224640007. The next prime is 224640037. The reversal of 224640009 is 900046422.

224640009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 126630009 + 98010000 = 11253^2 + 9900^2 .

It is not a de Polignac number, because 224640009 - 21 = 224640007 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (224640001) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 102052 + ... + 104229.

Almost surely, 2224640009 is an apocalyptic number.

It is an amenable number.

224640009 is a deficient number, since it is larger than the sum of its proper divisors (132021569).

224640009 is a wasteful number, since it uses less digits than its factorization.

224640009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206309 (or 206295 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 224640009 is about 14987.9954963964. The cubic root of 224640009 is about 607.8956504104.

The spelling of 224640009 in words is "two hundred twenty-four million, six hundred forty thousand, nine".

Divisors: 1 3 9 11 33 99 121 363 1089 206281 618843 1856529 2269091 6807273 20421819 24960001 74880003 224640009