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22002820 = 2257157163
BaseRepresentation
bin101001111101…
…1110010000100
31112101212012021
41103323302010
521113042240
62103332524
7355010110
oct123736204
945355167
1022002820
1111469054
127451144
134734c28
142cca740
151de954a
hex14fbc84

22002820 has 24 divisors (see below), whose sum is σ = 52807104. Its totient is φ = 7543776.

The previous prime is 22002809. The next prime is 22002823. The reversal of 22002820 is 2820022.

It is a junction number, because it is equal to n+sod(n) for n = 22002794 and 22002803.

It is not an unprimeable number, because it can be changed into a prime (22002823) 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 7 ways as a sum of consecutive naturals, for example, 78442 + ... + 78721.

It is an arithmetic number, because the mean of its divisors is an integer number (2200296).

Almost surely, 222002820 is an apocalyptic number.

22002820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22002820 is an abundant number, since it is smaller than the sum of its proper divisors (30804284).

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

22002820 is a wasteful number, since it uses less digits than its factorization.

22002820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157179 (or 157177 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 22002820 is about 4690.7163632008. The cubic root of 22002820 is about 280.2159049039.

Adding to 22002820 its reverse (2820022), we get a palindrome (24822842).

It can be divided in two parts, 22002 and 820, that added together give a palindrome (22822).

The spelling of 22002820 in words is "twenty-two million, two thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 157163 314326 628652 785815 1100141 1571630 2200282 3143260 4400564 5500705 11001410 22002820