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441222420 = 223517491881
BaseRepresentation
bin11010010011001…
…000010100010100
31010202020102101010
4122103020110110
51400423104140
6111440532220
713635220512
oct3223102424
91122212333
10441222420
11207070a31
12103921070
1370545672
14428554b2
1528b07880
hex1a4c8514

441222420 has 96 divisors (see below), whose sum is σ = 1312246656. Its totient is φ = 110387200.

The previous prime is 441222407. The next prime is 441222421. The reversal of 441222420 is 24222144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441222421) 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 31 ways as a sum of consecutive naturals, for example, 500380 + ... + 501260.

It is an arithmetic number, because the mean of its divisors is an integer number (13669236).

Almost surely, 2441222420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441222420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656123328).

441222420 is an abundant number, since it is smaller than the sum of its proper divisors (871024236).

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

441222420 is a wasteful number, since it uses less digits than its factorization.

441222420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 441222420 is about 21005.2950467257. The cubic root of 441222420 is about 761.2942052786.

Adding to 441222420 its reverse (24222144), we get a palindrome (465444564).

The spelling of 441222420 in words is "four hundred forty-one million, two hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 491 510 881 982 1020 1473 1762 1964 2455 2643 2946 3524 4405 4910 5286 5892 7365 8347 8810 9820 10572 13215 14730 14977 16694 17620 25041 26430 29460 29954 33388 41735 44931 50082 52860 59908 74885 83470 89862 100164 125205 149770 166940 179724 224655 250410 299540 432571 449310 500820 865142 898620 1297713 1730284 2162855 2595426 4325710 5190852 6488565 7353707 8651420 12977130 14707414 22061121 25954260 29414828 36768535 44122242 73537070 88244484 110305605 147074140 220611210 441222420