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22006660 = 22513531597
BaseRepresentation
bin101001111110…
…0101110000100
31112102001110111
41103330232010
521113203120
62103402404
7355024234
oct123745604
945361414
1022006660
1111470a25
127453404
1347368c0
142ccbcc4
151dea75a
hex14fcb84

22006660 has 48 divisors (see below), whose sum is σ = 50739696. Its totient is φ = 7967232.

The previous prime is 22006657. The next prime is 22006711. The reversal of 22006660 is 6660022.

It can be written as a sum of positive squares in 8 ways, for example, as 2079364 + 19927296 = 1442^2 + 4464^2 .

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 15 ways as a sum of consecutive naturals, for example, 12982 + ... + 14578.

It is an arithmetic number, because the mean of its divisors is an integer number (1057077).

Almost surely, 222006660 is an apocalyptic number.

22006660 is a gapful number since it is divisible by the number (20) 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 22006660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25369848).

22006660 is an abundant number, since it is smaller than the sum of its proper divisors (28733036).

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

22006660 is a wasteful number, since it uses less digits than its factorization.

22006660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1670 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 22006660 is about 4691.1256644861. The cubic root of 22006660 is about 280.2322053370.

Adding to 22006660 its reverse (6660022), we get a palindrome (28666682).

The spelling of 22006660 in words is "twenty-two million, six thousand, six hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 260 265 530 689 1060 1378 1597 2756 3194 3445 6388 6890 7985 13780 15970 20761 31940 41522 83044 84641 103805 169282 207610 338564 415220 423205 846410 1100333 1692820 2200666 4401332 5501665 11003330 22006660