Base | Representation |
---|---|
bin | 111010100001111111010… |
… | …000000111011010000100 |
3 | 112020112001201200010210000 |
4 | 322201333100013122010 |
5 | 1011400003411221012 |
6 | 12315441230201300 |
7 | 563411316420264 |
oct | 72417720073204 |
9 | 15215051603700 |
10 | 4022224320132 |
11 | 13108a7851297 |
12 | 54b64a953230 |
13 | 2323a926b615 |
14 | dc968bd37a4 |
15 | 6e962148ddc |
hex | 3a87f407684 |
4022224320132 has 120 divisors (see below), whose sum is σ = 11152918576800. Its totient is φ = 1259663374080.
The previous prime is 4022224320113. The next prime is 4022224320151. The reversal of 4022224320132 is 2310234222204.
4022224320132 is a `hidden beast` number, since 4 + 0 + 2 + 222 + 432 + 0 + 1 + 3 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (4022224320113) and next prime (4022224320151).
It is a super-2 number, since 2×40222243201322 (a number of 26 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 4022224320096 and 4022224320105.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2505619 + ... + 3784517.
It is an arithmetic number, because the mean of its divisors is an integer number (92940988140).
Almost surely, 24022224320132 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 4022224320132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5576459288400).
4022224320132 is an abundant number, since it is smaller than the sum of its proper divisors (7130694256668).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
4022224320132 is a wasteful number, since it uses less digits than its factorization.
4022224320132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1279503 (or 1279492 counting only the distinct ones).
The product of its (nonzero) digits is 9216, while the sum is 27.
Adding to 4022224320132 its reverse (2310234222204), we get a palindrome (6332458542336).
The spelling of 4022224320132 in words is "four trillion, twenty-two billion, two hundred twenty-four million, three hundred twenty thousand, one hundred thirty-two".
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