Base | Representation |
---|---|
bin | 1010000110000111000110… |
… | …00010101010000010100010 |
3 | 2220121022121010010200202200 |
4 | 11003003203002222002202 |
5 | 10402212002212011432 |
6 | 115114344154154030 |
7 | 4450624440260520 |
oct | 503034302520242 |
9 | 86538533120680 |
10 | 22200200110242 |
11 | 708a063227890 |
12 | 25a666a122916 |
13 | c5061545c7ab |
14 | 56a6d15dd310 |
15 | 287728b64a7c |
hex | 1430e30aa0a2 |
22200200110242 has 192 divisors, whose sum is σ = 61386362459136. Its totient is φ = 5630134366080.
The previous prime is 22200200110241. The next prime is 22200200110243. The reversal of 22200200110242 is 24201100200222.
22200200110242 is a `hidden beast` number, since 2 + 220 + 0 + 200 + 1 + 1 + 0 + 242 = 666.
It is an interprime number because it is at equal distance from previous prime (22200200110241) and next prime (22200200110243).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (22200200110241) by changing a digit.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 166986748 + ... + 167119640.
It is an arithmetic number, because the mean of its divisors is an integer number (319720637808).
Almost surely, 222200200110242 is an apocalyptic number.
22200200110242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 22200200110242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30693181229568).
22200200110242 is an abundant number, since it is smaller than the sum of its proper divisors (39186162348894).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22200200110242 is a wasteful number, since it uses less digits than its factorization.
22200200110242 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 135765 (or 135762 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 22200200110242 its reverse (24201100200222), we get a palindrome (46401300310464).
The spelling of 22200200110242 in words is "twenty-two trillion, two hundred billion, two hundred million, one hundred ten thousand, two hundred forty-two".
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