Base | Representation |
---|---|
bin | 1010000000111001101110… |
… | …01000001010000110100000 |
3 | 2212222012121211122102112200 |
4 | 11000130313020022012200 |
5 | 10341243430341241000 |
6 | 114500224304453200 |
7 | 4431660262243104 |
oct | 500346710120640 |
9 | 85865554572480 |
10 | 22021222212000 |
11 | 7020169934900 |
12 | 2577a3a91a200 |
13 | c397914c33ab |
14 | 561b93465904 |
15 | 282c51056500 |
hex | 14073720a1a0 |
22021222212000 has 864 divisors, whose sum is σ = 89639426822400. Its totient is φ = 5106347136000.
The previous prime is 22021222211951. The next prime is 22021222212047. The reversal of 22021222212000 is 21222212022.
22021222212000 is a `hidden beast` number, since 220 + 2 + 1 + 22 + 221 + 200 + 0 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 100078101 + ... + 100297899.
It is an arithmetic number, because the mean of its divisors is an integer number (103749336600).
Almost surely, 222021222212000 is an apocalyptic number.
22021222212000 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 22021222212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44819713411200).
22021222212000 is an abundant number, since it is smaller than the sum of its proper divisors (67618204610400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22021222212000 is a wasteful number, since it uses less digits than its factorization.
22021222212000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 219875 (or 219843 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
Adding to 22021222212000 its reverse (21222212022), we get a palindrome (22042444424022).
It can be divided in two parts, 22021222 and 212000, that added together give a palindrome (22233222).
The spelling of 22021222212000 in words is "twenty-two trillion, twenty-one billion, two hundred twenty-two million, two hundred twelve thousand".
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