Base | Representation |
---|---|
bin | 10010010010111001… |
… | …00011101010000000 |
3 | 221100112010021222220 |
4 | 21021130203222000 |
5 | 130103433014230 |
6 | 4302350531040 |
7 | 465254650344 |
oct | 111134435200 |
9 | 27315107886 |
10 | 9822157440 |
11 | 4190396297 |
12 | 1aa1506a80 |
13 | c06bc05a4 |
14 | 6926ab624 |
15 | 3c747dd10 |
hex | 249723a80 |
9822157440 has 128 divisors (see below), whose sum is σ = 31439517120. Its totient is φ = 2608250880.
The previous prime is 9822157361. The next prime is 9822157441. The reversal of 9822157440 is 447512289.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×98221574402 (a number of 21 digits) contains 22 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 9822157392 and 9822157401.
It is not an unprimeable number, because it can be changed into a prime (9822157441) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452107 + ... + 473333.
Almost surely, 29822157440 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 9822157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15719758560).
9822157440 is an abundant number, since it is smaller than the sum of its proper divisors (21617359680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9822157440 is a wasteful number, since it uses less digits than its factorization.
9822157440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21490 (or 21478 counting only the distinct ones).
The product of its (nonzero) digits is 161280, while the sum is 42.
The square root of 9822157440 is about 99106.7981522963. The cubic root of 9822157440 is about 2141.5865487515.
The spelling of 9822157440 in words is "nine billion, eight hundred twenty-two million, one hundred fifty-seven thousand, four hundred forty".
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