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2221414112 = 25411739787
BaseRepresentation
bin1000010001101000…
…0001011011100000
312201210222112021202
42010122001123200
514022140222422
61004232340332
7106022464661
oct20432013340
95653875252
102221414112
11a3aa26335
1251bb446a8
132952bb628
14171053368
15d004bb92
hex846816e0

2221414112 has 48 divisors (see below), whose sum is σ = 4506434352. Its totient is φ = 1077242880.

The previous prime is 2221414093. The next prime is 2221414121. The reversal of 2221414112 is 2114141222.

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 222083 + ... + 231869.

It is an arithmetic number, because the mean of its divisors is an integer number (93884049).

Almost surely, 22221414112 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 2221414112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253217176).

2221414112 is an abundant number, since it is smaller than the sum of its proper divisors (2285020240).

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

2221414112 is a wasteful number, since it uses less digits than its factorization.

2221414112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10011 (or 10003 counting only the distinct ones).

The product of its digits is 256, while the sum is 20.

The square root of 2221414112 is about 47131.8799964525. The cubic root of 2221414112 is about 1304.7976789835.

Adding to 2221414112 its reverse (2114141222), we get a palindrome (4335555334).

The spelling of 2221414112 in words is "two billion, two hundred twenty-one million, four hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 41 82 164 173 328 346 656 692 1312 1384 2768 5536 7093 9787 14186 19574 28372 39148 56744 78296 113488 156592 226976 313184 401267 802534 1605068 1693151 3210136 3386302 6420272 6772604 12840544 13545208 27090416 54180832 69419191 138838382 277676764 555353528 1110707056 2221414112