Base | Representation |
---|---|
bin | 10100110100111000… |
… | …010000111000101100 |
3 | 2010201110001100102001 |
4 | 110310320100320230 |
5 | 331244133012230 |
6 | 14134543142044 |
7 | 1421102605006 |
oct | 246470207054 |
9 | 63643040361 |
10 | 22362000940 |
11 | 9535848314 |
12 | 4400ba4924 |
13 | 2154b4a726 |
14 | 1121c93376 |
15 | 8ad2d80ca |
hex | 534e10e2c |
22362000940 has 96 divisors (see below), whose sum is σ = 50583222144. Its totient is φ = 8273756160.
The previous prime is 22362000931. The next prime is 22362000977. The reversal of 22362000940 is 4900026322.
22362000940 is a nontrivial binomial coefficient, being equal to C(211481, 2).
It is a junction number, because it is equal to n+sod(n) for n = 22362000899 and 22362000908.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7717572 + ... + 7720468.
It is an arithmetic number, because the mean of its divisors is an integer number (526908564).
Almost surely, 222362000940 is an apocalyptic number.
22362000940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
22362000940 is the 211480-th triangular number.
22362000940 is the 70494-th centered nonagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 22362000940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25291611072).
22362000940 is an abundant number, since it is smaller than the sum of its proper divisors (28221221204).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22362000940 is a wasteful number, since it uses less digits than its factorization.
22362000940 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3307 (or 3305 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 28.
The spelling of 22362000940 in words is "twenty-two billion, three hundred sixty-two million, nine hundred forty", and thus it is an aban number.
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