Base | Representation |
---|---|
bin | 10100100111101001… |
… | …011010011100011010 |
3 | 2010010222022202000200 |
4 | 110213221122130122 |
5 | 330320320112442 |
6 | 14100533043030 |
7 | 1412435633655 |
oct | 244751323432 |
9 | 63128282020 |
10 | 22140004122 |
11 | 9431500875 |
12 | 435a786476 |
13 | 211ab61172 |
14 | 11005c689c |
15 | 898a8634c |
hex | 527a5a71a |
22140004122 has 48 divisors (see below), whose sum is σ = 49793856840. Its totient is φ = 7101150336.
The previous prime is 22140004067. The next prime is 22140004129.
22140004122 is a `hidden beast` number, since 221 + 400 + 0 + 41 + 2 + 2 = 666.
22140004122 is nontrivially palindromic in base 10.
It can be written as a sum of positive squares in 4 ways, for example, as 22085229321 + 54774801 = 148611^2 + 7401^2 .
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 = 22140004095 and 22140004104.
It is not an unprimeable number, because it can be changed into a prime (22140004129) 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, 80568 + ... + 225324.
Almost surely, 222140004122 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22140004122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24896928420).
22140004122 is an abundant number, since it is smaller than the sum of its proper divisors (27653852718).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22140004122 is a wasteful number, since it uses less digits than its factorization.
22140004122 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 145087 (or 145084 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 18.
It can be divided in two parts, 2214000 and 4122, that added together give a palindrome (2218122).
The spelling of 22140004122 in words is "twenty-two billion, one hundred forty million, four thousand, one hundred twenty-two".
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