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2221772 = 22779349
BaseRepresentation
bin1000011110011011001100
311011212200212
420132123030
51032044042
6115341552
724612320
oct10363314
94155625
102221772
111288283
128b18b8
135ca377
1441b980
152dd482
hex21e6cc

2221772 has 12 divisors (see below), whose sum is σ = 4443600. Its totient is φ = 952176.

The previous prime is 2221771. The next prime is 2221789. The reversal of 2221772 is 2771222.

2221772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

2221772 is an admirable number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2221771) 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 3 ways as a sum of consecutive naturals, for example, 39647 + ... + 39702.

It is an arithmetic number, because the mean of its divisors is an integer number (370300).

22221772 is an apocalyptic number.

It is an amenable number.

2221772 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

2221772 is a wasteful number, since it uses less digits than its factorization.

2221772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79360 (or 79358 counting only the distinct ones).

The product of its digits is 784, while the sum is 23.

The square root of 2221772 is about 1490.5609682264. The cubic root of 2221772 is about 130.4867746417.

Adding to 2221772 its reverse (2771222), we get a palindrome (4992994).

The spelling of 2221772 in words is "two million, two hundred twenty-one thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 28 79349 158698 317396 555443 1110886 2221772