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4422012 = 223761863
BaseRepresentation
bin10000110111100101111100
322022122212020
4100313211330
52113001022
6234440140
752405110
oct20674574
98278766
104422012
112550361
121593050
13bba99a
14831740
155c535c
hex43797c

4422012 has 48 divisors (see below), whose sum is σ = 11999232. Its totient is φ = 1241280.

The previous prime is 4421999. The next prime is 4422017. The reversal of 4422012 is 2102244.

It is a junction number, because it is equal to n+sod(n) for n = 4421982 and 4422000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4422017) 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 15 ways as a sum of consecutive naturals, for example, 4693 + ... + 5555.

It is an arithmetic number, because the mean of its divisors is an integer number (249984).

Almost surely, 24422012 is an apocalyptic number.

4422012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4422012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5999616).

4422012 is an abundant number, since it is smaller than the sum of its proper divisors (7577220).

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

4422012 is a wasteful number, since it uses less digits than its factorization.

4422012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4422012 is about 2102.8580551240. The cubic root of 4422012 is about 164.1370557649.

Adding to 4422012 its reverse (2102244), we get a palindrome (6524256).

The spelling of 4422012 in words is "four million, four hundred twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 183 244 366 427 732 854 863 1281 1708 1726 2562 2589 3452 5124 5178 6041 10356 12082 18123 24164 36246 52643 72492 105286 157929 210572 315858 368501 631716 737002 1105503 1474004 2211006 4422012