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441223218 = 23249512
BaseRepresentation
bin11010010011001…
…000100000110010
31010202020110110200
4122103020200302
51400423120333
6111440540030
713635223032
oct3223104062
91122213420
10441223218
11207071597
12103921616
1370545b37
14428558c2
1528b07c13
hex1a4c8832

441223218 has 18 divisors (see below), whose sum is σ = 956176767. Its totient is φ = 147044700.

The previous prime is 441223213. The next prime is 441223243. The reversal of 441223218 is 812322144.

441223218 is a `hidden beast` number, since 4 + 412 + 232 + 18 = 666.

It can be written as a sum of positive squares in only one way, i.e., 220611609 + 220611609 = 14853^2 + 14853^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=14853.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 441223191 and 441223200.

It is not an unprimeable number, because it can be changed into a prime (441223213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 86643 + ... + 91593.

Almost surely, 2441223218 is an apocalyptic number.

441223218 is an abundant number, since it is smaller than the sum of its proper divisors (514953549).

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

441223218 is an frugal number, since it uses more digits than its factorization.

441223218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9910 (or 4956 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 441223218 is about 21005.3140419276. The cubic root of 441223218 is about 761.2946642402.

The spelling of 441223218 in words is "four hundred forty-one million, two hundred twenty-three thousand, two hundred eighteen".

Divisors: 1 2 3 6 9 18 4951 9902 14853 29706 44559 89118 24512401 49024802 73537203 147074406 220611609 441223218