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441223230 = 23572717753
BaseRepresentation
bin11010010011001…
…000100000111110
31010202020110111010
4122103020200332
51400423120410
6111440540050
713635223050
oct3223104076
91122213433
10441223230
112070715a8
12103921626
1370545b46
14428558d0
1528b07c20
hex1a4c883e

441223230 has 64 divisors (see below), whose sum is σ = 1214834688. Its totient is φ = 100465920.

The previous prime is 441223213. The next prime is 441223243. The reversal of 441223230 is 32322144.

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 = 441223197 and 441223206.

It is a congruent number.

It is an unprimeable number.

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, 53034 + ... + 60786.

It is an arithmetic number, because the mean of its divisors is an integer number (18981792).

Almost surely, 2441223230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441223230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607417344).

441223230 is an abundant number, since it is smaller than the sum of its proper divisors (773611458).

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

441223230 is a wasteful number, since it uses less digits than its factorization.

441223230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8041.

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 441223230 is about 21005.3143275696. The cubic root of 441223230 is about 761.2946711419.

Adding to 441223230 its reverse (32322144), we get a palindrome (473545374).

The spelling of 441223230 in words is "four hundred forty-one million, two hundred twenty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 271 542 813 1355 1626 1897 2710 3794 4065 5691 7753 8130 9485 11382 15506 18970 23259 28455 38765 46518 54271 56910 77530 108542 116295 162813 232590 271355 325626 542710 814065 1628130 2101063 4202126 6303189 10505315 12606378 14707441 21010630 29414882 31515945 44122323 63031890 73537205 88244646 147074410 220611615 441223230