Base | Representation |
---|---|
bin | 10100100111111001… |
… | …110101110000110000 |
3 | 2010011021102112000111 |
4 | 110213321311300300 |
5 | 330322420412240 |
6 | 14101205231104 |
7 | 1412520350326 |
oct | 244771656060 |
9 | 63137375014 |
10 | 22144310320 |
11 | 9433982110 |
12 | 4360102494 |
13 | 211ba0b202 |
14 | 1100dc7d16 |
15 | 8991371ea |
hex | 527e75c30 |
22144310320 has 80 divisors (see below), whose sum is σ = 56418388992. Its totient is φ = 8016295680.
The previous prime is 22144310317. The next prime is 22144310327. The reversal of 22144310320 is 2301344122.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 22144310291 and 22144310300.
It is not an unprimeable number, because it can be changed into a prime (22144310327) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139819 + ... + 252661.
Almost surely, 222144310320 is an apocalyptic number.
22144310320 is a gapful number since it is divisible by the number (20) 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 22144310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28209194496).
22144310320 is an abundant number, since it is smaller than the sum of its proper divisors (34274078672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
22144310320 is a wasteful number, since it uses less digits than its factorization.
22144310320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 113090 (or 113084 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 22.
Adding to 22144310320 its reverse (2301344122), we get a palindrome (24445654442).
The spelling of 22144310320 in words is "twenty-two billion, one hundred forty-four million, three hundred ten thousand, three hundred twenty".
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