Search a number
-
+
2220666 = 237371429
BaseRepresentation
bin1000011110001001111010
311011211011220
420132021322
51032030131
6115332510
724606150
oct10361172
94154156
102220666
111287468
128b1136
135c9a06
1441b3d0
152dce96
hex21e27a

2220666 has 32 divisors (see below), whose sum is σ = 5216640. Its totient is φ = 616896.

The previous prime is 2220661. The next prime is 2220671. The reversal of 2220666 is 6660222.

2220666 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2220661) and next prime (2220671).

2220666 is a modest number, since divided by 666 gives 222 as remainder.

It is not an unprimeable number, because it can be changed into a prime (2220661) 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 15 ways as a sum of consecutive naturals, for example, 840 + ... + 2268.

It is an arithmetic number, because the mean of its divisors is an integer number (163020).

22220666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2220666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608320).

2220666 is an abundant number, since it is smaller than the sum of its proper divisors (2995974).

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

2220666 is a wasteful number, since it uses less digits than its factorization.

2220666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478.

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2220666 is about 1490.1899207819. The cubic root of 2220666 is about 130.4651189052.

Adding to 2220666 its reverse (6660222), we get a palindrome (8880888).

The spelling of 2220666 in words is "two million, two hundred twenty thousand, six hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 518 777 1429 1554 2858 4287 8574 10003 20006 30009 52873 60018 105746 158619 317238 370111 740222 1110333 2220666