Base | Representation |
---|---|
bin | 10100011111011111… |
… | …010101011011010000 |
3 | 2002210102210112210002 |
4 | 110133133111123100 |
5 | 330030301110100 |
6 | 14035203425132 |
7 | 1406154433016 |
oct | 243737253320 |
9 | 62712715702 |
10 | 22003144400 |
11 | 9371224066 |
12 | 43209851a8 |
13 | 20c86b3293 |
14 | 10ca35c8b6 |
15 | 88ba502d5 |
hex | 51f7d56d0 |
22003144400 has 60 divisors (see below), whose sum is σ = 53093616300. Its totient is φ = 8762787840.
The previous prime is 22003144369. The next prime is 22003144403. The reversal of 22003144400 is 444130022.
It can be written as a sum of positive squares in 6 ways, for example, as 1407450256 + 20595694144 = 37516^2 + 143512^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (22003144403) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28505 + ... + 211704.
It is an arithmetic number, because the mean of its divisors is an integer number (884893605).
Almost surely, 222003144400 is an apocalyptic number.
22003144400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
22003144400 is an abundant number, since it is smaller than the sum of its proper divisors (31090471900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22003144400 is a wasteful number, since it uses less digits than its factorization.
22003144400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 240456 (or 240445 counting only the distinct ones).
The product of its (nonzero) digits is 768, while the sum is 20.
Adding to 22003144400 its reverse (444130022), we get a palindrome (22447274422).
The spelling of 22003144400 in words is "twenty-two billion, three million, one hundred forty-four thousand, four hundred".
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