Base | Representation |
---|---|
bin | 1000010110101000… |
… | …1111101101110000 |
3 | 12210021112222001211 |
4 | 2011222033231300 |
5 | 14043031203034 |
6 | 1010303205504 |
7 | 106366314013 |
oct | 20552175560 |
9 | 5707488054 |
10 | 2242444144 |
11 | a5088a526 |
12 | 526ba6894 |
13 | 299772835 |
14 | 173b6937a |
15 | d1d02d64 |
hex | 85a8fb70 |
2242444144 has 40 divisors (see below), whose sum is σ = 4583612880. Its totient is φ = 1059840000.
The previous prime is 2242444129. The next prime is 2242444219. The reversal of 2242444144 is 4414442422.
It is a happy number.
2242444144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132144 + ... + 148144.
It is an arithmetic number, because the mean of its divisors is an integer number (114590322).
Almost surely, 22242444144 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 2242444144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291806440).
2242444144 is an abundant number, since it is smaller than the sum of its proper divisors (2341168736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2242444144 is a wasteful number, since it uses less digits than its factorization.
2242444144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 16489 (or 16483 counting only the distinct ones).
The product of its digits is 32768, while the sum is 31.
The square root of 2242444144 is about 47354.4522088473. The cubic root of 2242444144 is about 1308.9022413966.
Adding to 2242444144 its reverse (4414442422), we get a palindrome (6656886566).
The spelling of 2242444144 in words is "two billion, two hundred forty-two million, four hundred forty-four thousand, one hundred forty-four".
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