Base | Representation |
---|---|
bin | 1000010110101000… |
… | …1111001100100100 |
3 | 12210021112212011011 |
4 | 2011222033030210 |
5 | 14043031121040 |
6 | 1010303152004 |
7 | 106366304560 |
oct | 20552171444 |
9 | 5707485134 |
10 | 2242442020 |
11 | a50888975 |
12 | 526ba5604 |
13 | 299771890 |
14 | 173b686a0 |
15 | d1d023ea |
hex | 85a8f324 |
2242442020 has 96 divisors (see below), whose sum is σ = 5812789248. Its totient is φ = 707622912.
The previous prime is 2242441979. The next prime is 2242442029. The reversal of 2242442020 is 202442422.
It is a happy number.
It is a junction number, because it is equal to n+sod(n) for n = 2242441982 and 2242442000.
It is not an unprimeable number, because it can be changed into a prime (2242442029) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 695452 + ... + 698668.
It is an arithmetic number, because the mean of its divisors is an integer number (60549888).
Almost surely, 22242442020 is an apocalyptic number.
2242442020 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 2242442020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906394624).
2242442020 is an abundant number, since it is smaller than the sum of its proper divisors (3570347228).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2242442020 is a wasteful number, since it uses less digits than its factorization.
2242442020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3629 (or 3627 counting only the distinct ones).
The product of its (nonzero) digits is 2048, while the sum is 22.
The square root of 2242442020 is about 47354.4297822284. The cubic root of 2242442020 is about 1308.9018281408.
Adding to 2242442020 its reverse (202442422), we get a palindrome (2444884442).
The spelling of 2242442020 in words is "two billion, two hundred forty-two million, four hundred forty-two thousand, twenty".
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