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2222112 = 25379293
BaseRepresentation
bin1000011110100000100000
311011220011110
420132200200
51032101422
6115343320
724613314
oct10364040
94156143
102222112
111288562
128b1b40
135ca579
1441bb44
152dd60c
hex21e820

2222112 has 48 divisors (see below), whose sum is σ = 5927040. Its totient is φ = 728832.

The previous prime is 2222093. The next prime is 2222123. The reversal of 2222112 is 2112222.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7438 + ... + 7730.

It is an arithmetic number, because the mean of its divisors is an integer number (123480).

22222112 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 2222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963520).

2222112 is an abundant number, since it is smaller than the sum of its proper divisors (3704928).

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

2222112 is a wasteful number, since it uses less digits than its factorization.

2222112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 377 counting only the distinct ones).

The product of its digits is 32, while the sum is 12.

The square root of 2222112 is about 1490.6750148842. The cubic root of 2222112 is about 130.4934304762.

Adding to 2222112 its reverse (2112222), we get a palindrome (4334334).

It can be divided in two parts, 222 and 2112, that multiplied together give a palindrome (468864).

The spelling of 2222112 in words is "two million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 79 96 158 237 293 316 474 586 632 879 948 1172 1264 1758 1896 2344 2528 3516 3792 4688 7032 7584 9376 14064 23147 28128 46294 69441 92588 138882 185176 277764 370352 555528 740704 1111056 2222112