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2221122112 = 26113155003
BaseRepresentation
bin1000010001100011…
…1010001001000000
312201210102200201221
42010120322021000
514022101401422
61004222204424
7106020140446
oct20430721100
95653380657
102221122112
11a3a846a10
1251ba23714
13295218751
14170db8b96
15ceee03c7
hex8463a240

2221122112 has 28 divisors (see below), whose sum is σ = 4808226096. Its totient is φ = 1009600640.

The previous prime is 2221122109. The next prime is 2221122119. The reversal of 2221122112 is 2112211222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 not an unprimeable number, because it can be changed into a prime (2221122119) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1576798 + ... + 1578205.

Almost surely, 22221122112 is an apocalyptic number.

2221122112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2221122112 is an abundant number, since it is smaller than the sum of its proper divisors (2587103984).

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

2221122112 is a wasteful number, since it uses less digits than its factorization.

2221122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3155026 (or 3155016 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 2221122112 is about 47128.7822036598. The cubic root of 2221122112 is about 1304.7405055498.

Adding to 2221122112 its reverse (2112211222), we get a palindrome (4333333334).

It can be divided in two parts, 22 and 21122112, that multiplied together give a palindrome (464686464).

The spelling of 2221122112 in words is "two billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 704 3155003 6310006 12620012 25240024 34705033 50480048 69410066 100960096 138820132 201920192 277640264 555280528 1110561056 2221122112