| Base | Representation |
|---|---|
| bin | 10011001110010001… |
| … | …00001100000100000 |
| 3 | 222122020022121110100 |
| 4 | 21213020201200200 |
| 5 | 132113434102430 |
| 6 | 4424022102400 |
| 7 | 513513304326 |
| oct | 114710414040 |
| 9 | 28566277410 |
| 10 | 10320222240 |
| 11 | 4416550799 |
| 12 | 200027aa00 |
| 13 | c861488a3 |
| 14 | 6dc8bbd16 |
| 15 | 406063960 |
| hex | 267221820 |
10320222240 has 144 divisors (see below), whose sum is σ = 35346264408. Its totient is φ = 2742018048.
The previous prime is 10320222233. The next prime is 10320222247. The reversal of 10320222240 is 4222202301.
It is an interprime number because it is at equal distance from previous prime (10320222233) and next prime (10320222247).
It can be written as a sum of positive squares in 4 ways, for example, as 6520239504 + 3799982736 = 80748^2 + 61644^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (10320222247) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385944 + ... + 411816.
Almost surely, 210320222240 is an apocalyptic number.
10320222240 is a gapful number since it is divisible by the number (10) 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 10320222240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17673132204).
10320222240 is an abundant number, since it is smaller than the sum of its proper divisors (25026042168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10320222240 is a wasteful number, since it uses less digits than its factorization.
10320222240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 26171 (or 26160 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
Adding to 10320222240 its reverse (4222202301), we get a palindrome (14542424541).
The spelling of 10320222240 in words is "ten billion, three hundred twenty million, two hundred twenty-two thousand, two hundred forty".
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