Base | Representation |
---|---|
bin | 10100110001001100… |
… | …100110001010101010 |
3 | 2010120010210122210200 |
4 | 110301030212022222 |
5 | 331132324101442 |
6 | 14124455053030 |
7 | 1416422521563 |
oct | 246114461252 |
9 | 63503718720 |
10 | 22300222122 |
11 | 9503991a42 |
12 | 43a4371176 |
13 | 21450c9c09 |
14 | 11179b116a |
15 | 8a7b8334c |
hex | 5313262aa |
22300222122 has 48 divisors (see below), whose sum is σ = 49829280072. Its totient is φ = 7202442240.
The previous prime is 22300222121. The next prime is 22300222151. The reversal of 22300222122 is 22122200322.
22300222122 is a `hidden beast` number, since 22 + 300 + 222 + 122 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 20793928401 + 1506293721 = 144201^2 + 38811^2 .
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 22300222095 and 22300222104.
It is not an unprimeable number, because it can be changed into a prime (22300222121) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91038 + ... + 229974.
Almost surely, 222300222122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22300222122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24914640036).
22300222122 is an abundant number, since it is smaller than the sum of its proper divisors (27529057950).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22300222122 is a wasteful number, since it uses less digits than its factorization.
22300222122 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 139223 (or 139220 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
Adding to 22300222122 its reverse (22122200322), we get a palindrome (44422422444).
The spelling of 22300222122 in words is "twenty-two billion, three hundred million, two hundred twenty-two thousand, one hundred twenty-two".
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