Base | Representation |
---|---|
bin | 1010000110001010101000… |
… | …10010100111101010001000 |
3 | 2220121111111112100012102212 |
4 | 11003011110102213222020 |
5 | 10402224400112321300 |
6 | 115115300510044252 |
7 | 4451022511141250 |
oct | 503052422475210 |
9 | 86544445305385 |
10 | 22202100120200 |
11 | 708a94878a450 |
12 | 25a6aba4a9688 |
13 | c50858c97a40 |
14 | 56a831aaa960 |
15 | 2877da875935 |
hex | 1431544a7a88 |
22202100120200 has 384 divisors, whose sum is σ = 69373679800320. Its totient is φ = 6381746611200.
The previous prime is 22202100120163. The next prime is 22202100120247. The reversal of 22202100120200 is 202100120222.
It is a Harshad number since it is a multiple of its sum of digits (14).
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 212760437 + ... + 212864763.
It is an arithmetic number, because the mean of its divisors is an integer number (180660624480).
Almost surely, 222202100120200 is an apocalyptic number.
22202100120200 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 22202100120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34686839900160).
22202100120200 is an abundant number, since it is smaller than the sum of its proper divisors (47171579680120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22202100120200 is a wasteful number, since it uses less digits than its factorization.
22202100120200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 105437 (or 105428 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
Adding to 22202100120200 its reverse (202100120222), we get a palindrome (22404200240422).
The spelling of 22202100120200 in words is "twenty-two trillion, two hundred two billion, one hundred million, one hundred twenty thousand, two hundred".
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