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22006420 = 2251100321
BaseRepresentation
bin101001111110…
…0101010010100
31112102001010121
41103330222110
521113201140
62103401324
7355023442
oct123745224
945361117
1022006420
1111470827
127453244
134736767
142ccbb92
151dea64a
hex14fca94

22006420 has 12 divisors (see below), whose sum is σ = 46213524. Its totient is φ = 8802560.

The previous prime is 22006417. The next prime is 22006451. The reversal of 22006420 is 2460022.

It can be written as a sum of positive squares in 2 ways, for example, as 6780816 + 15225604 = 2604^2 + 3902^2 .

It is a junction number, because it is equal to n+sod(n) for n = 22006394 and 22006403.

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 3 ways as a sum of consecutive naturals, for example, 550141 + ... + 550180.

It is an arithmetic number, because the mean of its divisors is an integer number (3851127).

Almost surely, 222006420 is an apocalyptic number.

22006420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22006420 is an abundant number, since it is smaller than the sum of its proper divisors (24207104).

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

22006420 is a wasteful number, since it uses less digits than its factorization.

22006420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100330 (or 1100328 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 22006420 is about 4691.1000842020. The cubic root of 22006420 is about 280.2311866154.

Adding to 22006420 its reverse (2460022), we get a palindrome (24466442).

The spelling of 22006420 in words is "twenty-two million, six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 1100321 2200642 4401284 5501605 11003210 22006420