Base | Representation |
---|---|
bin | 10100100110100101… |
… | …100010101101101000 |
3 | 2010002201211211002121 |
4 | 110212211202231220 |
5 | 330301241242300 |
6 | 14055055441024 |
7 | 1412131462324 |
oct | 244645425550 |
9 | 63081754077 |
10 | 22122212200 |
11 | 9422459500 |
12 | 4354826174 |
13 | 2117271aba |
14 | 10dc0b4984 |
15 | 89721e81a |
hex | 526962b68 |
22122212200 has 144 divisors (see below), whose sum is σ = 59861754540. Its totient is φ = 7571097600.
The previous prime is 22122212143. The next prime is 22122212201. The reversal of 22122212200 is 221222122.
It can be written as a sum of positive squares in 6 ways, for example, as 13375847716 + 8746364484 = 115654^2 + 93522^2 .
It is not an unprimeable number, because it can be changed into a prime (22122212201) by changing a digit.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 384514 + ... + 438286.
Almost surely, 222122212200 is an apocalyptic number.
22122212200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22122212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29930877270).
22122212200 is an abundant number, since it is smaller than the sum of its proper divisors (37739542340).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22122212200 is a wasteful number, since it uses less digits than its factorization.
22122212200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 53828 (or 53808 counting only the distinct ones).
The product of its (nonzero) digits is 128, while the sum is 16.
Adding to 22122212200 its reverse (221222122), we get a palindrome (22343434322).
22122212200 divided by its reverse (221222122) gives a square (100 = 102).
The spelling of 22122212200 in words is "twenty-two billion, one hundred twenty-two million, two hundred twelve thousand, two hundred".
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