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21422222412 = 22310121391259
BaseRepresentation
bin10011111100110111…
…010010110001001100
32001021221200122121220
4103330313102301030
5322333042104122
613501412323340
71355601612633
oct237467226114
961257618556
1021422222412
1190a3316848
12419a313550
132035237266
14107314051a
15855a5025c
hex4fcdd2c4c

21422222412 has 72 divisors (see below), whose sum is σ = 50888577600. Its totient is φ = 7013601600.

The previous prime is 21422222399. The next prime is 21422222501.

21422222412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×214222224122 (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17014639 + ... + 17015897.

It is an arithmetic number, because the mean of its divisors is an integer number (706785800).

Almost surely, 221422222412 is an apocalyptic number.

It is an amenable number.

21422222412 is an abundant number, since it is smaller than the sum of its proper divisors (29466355188).

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

21422222412 is a wasteful number, since it uses less digits than its factorization.

21422222412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1504 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The spelling of 21422222412 in words is "twenty-one billion, four hundred twenty-two million, two hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 101 139 202 278 303 404 417 556 606 834 1212 1259 1668 2518 3777 5036 7554 10201 14039 15108 20402 28078 30603 40804 42117 56156 61206 84234 122412 127159 168468 175001 254318 350002 381477 508636 525003 700004 762954 1050006 1417939 1525908 2100012 2835878 4253817 5671756 8507634 12843059 17015268 17675101 25686118 35350202 38529177 51372236 53025303 70700404 77058354 106050606 154116708 212101212 1785185201 3570370402 5355555603 7140740804 10711111206 21422222412