Base | Representation |
---|---|
bin | 1010001011111111000000… |
… | …11100011101001000110000 |
3 | 2221022121112021212120201102 |
4 | 11011333200130131020300 |
5 | 10414013314110120100 |
6 | 115351202415023532 |
7 | 4501330640130431 |
oct | 505774034351060 |
9 | 87277467776642 |
10 | 22402020004400 |
11 | 7157709300443 |
12 | 26197b320aba8 |
13 | c66669815bca |
14 | 576399295488 |
15 | 28cadbc71cd5 |
hex | 145fe071d230 |
22402020004400 has 120 divisors (see below), whose sum is σ = 54005132241984. Its totient is φ = 8930136556800.
The previous prime is 22402020004381. The next prime is 22402020004409. The reversal of 22402020004400 is 440002020422.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is not an unprimeable number, because it can be changed into a prime (22402020004409) 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, 1018123799 + ... + 1018145801.
Almost surely, 222402020004400 is an apocalyptic number.
22402020004400 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 22402020004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27002566120992).
22402020004400 is an abundant number, since it is smaller than the sum of its proper divisors (31603112237584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22402020004400 is a wasteful number, since it uses less digits than its factorization.
22402020004400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 30619 (or 30608 counting only the distinct ones).
The product of its (nonzero) digits is 1024, while the sum is 20.
Adding to 22402020004400 its reverse (440002020422), we get a palindrome (22842022024822).
The spelling of 22402020004400 in words is "twenty-two trillion, four hundred two billion, twenty million, four thousand, four hundred".
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