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441214224 = 24311835633
BaseRepresentation
bin11010010011000…
…110010100010000
31010202020000010120
4122103012110100
51400422323344
6111440430240
713635154563
oct3223062420
91122200116
10441214224
11207065860
12103918380
1370541a09
14428524da
1528b05219
hex1a4c6510

441214224 has 40 divisors (see below), whose sum is σ = 1243423392. Its totient is φ = 133701120.

The previous prime is 441214223. The next prime is 441214237. The reversal of 441214224 is 422412144.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 441214194 and 441214203.

It is not an unprimeable number, because it can be changed into a prime (441214223) 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 7 ways as a sum of consecutive naturals, for example, 417289 + ... + 418344.

Almost surely, 2441214224 is an apocalyptic number.

441214224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

441214224 is an abundant number, since it is smaller than the sum of its proper divisors (802209168).

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

441214224 is a wasteful number, since it uses less digits than its factorization.

441214224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835655 (or 835649 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 441214224 is about 21005.0999521545. The cubic root of 441214224 is about 761.2894914006.

Adding to 441214224 its reverse (422412144), we get a palindrome (863626368).

The spelling of 441214224 in words is "four hundred forty-one million, two hundred fourteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 835633 1671266 2506899 3342532 5013798 6685064 9191963 10027596 13370128 18383926 20055192 27575889 36767852 40110384 55151778 73535704 110303556 147071408 220607112 441214224