Base | Representation |
---|---|
bin | 1000010110100011… |
… | …1110101011110000 |
3 | 12210020221002210002 |
4 | 2011220332223300 |
5 | 14042440042430 |
6 | 1010252125132 |
7 | 106363432244 |
oct | 20550765360 |
9 | 5706832702 |
10 | 2242112240 |
11 | a50683125 |
12 | 526a667a8 |
13 | 299687744 |
14 | 173ac0424 |
15 | d1c89845 |
hex | 85a3eaf0 |
2242112240 has 80 divisors (see below), whose sum is σ = 5314802688. Its totient is φ = 879491328.
The previous prime is 2242112239. The next prime is 2242112261. The reversal of 2242112240 is 422112422.
2242112240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 (20).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880409 + ... + 882951.
Almost surely, 22242112240 is an apocalyptic number.
2242112240 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 2242112240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657401344).
2242112240 is an abundant number, since it is smaller than the sum of its proper divisors (3072690448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2242112240 is a wasteful number, since it uses less digits than its factorization.
2242112240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2766 (or 2760 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 20.
The square root of 2242112240 is about 47350.9476145937. The cubic root of 2242112240 is about 1308.8376613675.
Adding to 2242112240 its reverse (422112422), we get a palindrome (2664224662).
The spelling of 2242112240 in words is "two billion, two hundred forty-two million, one hundred twelve thousand, two hundred forty".
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