Search a number
-
+
224500017 = 3731072039
BaseRepresentation
bin11010110000110…
…01100100110001
3120122102210010110
431120121210301
5424433000032
634135451533
75364135000
oct1530314461
9518383113
10224500017
111057a7205
1263226ba9
1337684a61
1421b5cc37
1514a987cc
hexd619931

224500017 has 32 divisors (see below), whose sum is σ = 352512000. Its totient is φ = 127024464.

The previous prime is 224500009. The next prime is 224500027. The reversal of 224500017 is 710005422.

It is not a de Polignac number, because 224500017 - 23 = 224500009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 224499966 and 224500002.

It is not an unprimeable number, because it can be changed into a prime (224500007) 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 31 ways as a sum of consecutive naturals, for example, 109084 + ... + 111122.

It is an arithmetic number, because the mean of its divisors is an integer number (11016000).

Almost surely, 2224500017 is an apocalyptic number.

224500017 is the 12234-th pentagonal number.

It is an amenable number.

224500017 is a deficient number, since it is larger than the sum of its proper divisors (128011983).

224500017 is a wasteful number, since it uses less digits than its factorization.

224500017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 224500017 is about 14983.3246310690. The cubic root of 224500017 is about 607.7693472759.

Adding to 224500017 its reverse (710005422), we get a palindrome (934505439).

The spelling of 224500017 in words is "two hundred twenty-four million, five hundred thousand, seventeen".

Divisors: 1 3 7 21 49 107 147 321 343 749 1029 2039 2247 5243 6117 14273 15729 36701 42819 99911 110103 218173 299733 654519 699377 1527211 2098131 4581633 10690477 32071431 74833339 224500017