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2222122112 = 2777931393
BaseRepresentation
bin1000010001110010…
…1110010010000000
312201212022111110222
42010130232102000
514022330401422
61004255442212
7106031504060
oct20434562200
95655274428
102222122112
11a4036a261
12520226368
132954a8972
141711993a0
15d013b842
hex8472e480

2222122112 has 64 divisors (see below), whose sum is σ = 5123500800. Its totient is φ = 940253184.

The previous prime is 2222122099. The next prime is 2222122121. The reversal of 2222122112 is 2112212222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

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 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, 55088 + ... + 86480.

It is an arithmetic number, because the mean of its divisors is an integer number (80054700).

Almost surely, 22222122112 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 2222122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561750400).

2222122112 is an abundant number, since it is smaller than the sum of its proper divisors (2901378688).

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

2222122112 is an equidigital number, since it uses as much as digits as its factorization.

2222122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31493 (or 31481 counting only the distinct ones).

The product of its digits is 128, while the sum is 17.

The square root of 2222122112 is about 47139.3902378892. The cubic root of 2222122112 is about 1304.9362841819.

Adding to 2222122112 its reverse (2112212222), we get a palindrome (4334334334).

The spelling of 2222122112 in words is "two billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 79 112 128 158 224 316 448 553 632 896 1106 1264 2212 2528 4424 5056 8848 10112 17696 31393 35392 62786 70784 125572 219751 251144 439502 502288 879004 1004576 1758008 2009152 2480047 3516016 4018304 4960094 7032032 9920188 14064064 17360329 19840376 28128128 34720658 39680752 69441316 79361504 138882632 158723008 277765264 317446016 555530528 1111061056 2222122112