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2222444 = 2272172329
BaseRepresentation
bin1000011110100101101100
311011220121202
420132211230
51032104234
6115345032
724614300
oct10364554
94156552
102222444
111288834
128b2178
135ca773
1441bd00
152dd77e
hex21e96c

2222444 has 72 divisors (see below), whose sum is σ = 5171040. Its totient is φ = 827904.

The previous prime is 2222443. The next prime is 2222477. The reversal of 2222444 is 4442222.

2222444 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

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

It is a plaindrome in base 10.

It is a zygodrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (2222443) 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 23 ways as a sum of consecutive naturals, for example, 76622 + ... + 76650.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

22222444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2222444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585520).

2222444 is an abundant number, since it is smaller than the sum of its proper divisors (2948596).

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

2222444 is a wasteful number, since it uses less digits than its factorization.

2222444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 78 counting only the distinct ones).

The product of its digits is 1024, while the sum is 20.

The square root of 2222444 is about 1490.7863696721. The cubic root of 2222444 is about 130.4999290478.

Adding to 2222444 its reverse (4442222), we get a palindrome (6664666).

The spelling of 2222444 in words is "two million, two hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 23 28 29 34 46 49 58 68 92 98 116 119 161 196 203 238 322 391 406 476 493 644 667 782 812 833 986 1127 1334 1421 1564 1666 1972 2254 2668 2737 2842 3332 3451 4508 4669 5474 5684 6902 9338 10948 11339 13804 18676 19159 22678 24157 32683 38318 45356 48314 65366 76636 79373 96628 130732 158746 317492 555611 1111222 2222444