Base | Representation |
---|---|
bin | 1000010110101010… |
… | …0110001001100000 |
3 | 12210021201122010002 |
4 | 2011222212021200 |
5 | 14043042123112 |
6 | 1010305155132 |
7 | 106400145632 |
oct | 20552461140 |
9 | 5707648102 |
10 | 2242536032 |
11 | a50942570 |
12 | 52702baa8 |
13 | 2997a55c9 |
14 | 173b90a52 |
15 | d1d201c2 |
hex | 85aa6260 |
2242536032 has 96 divisors (see below), whose sum is σ = 5008324608. Its totient is φ = 979200000.
The previous prime is 2242536031. The next prime is 2242536059. The reversal of 2242536032 is 2306352422.
It is a junction number, because it is equal to n+sod(n) for n = 2242535986 and 2242536004.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2242536031) 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, 1647032 + ... + 1648392.
It is an arithmetic number, because the mean of its divisors is an integer number (52170048).
Almost surely, 22242536032 is an apocalyptic number.
2242536032 is a gapful number since it is divisible by the number (22) 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 2242536032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504162304).
2242536032 is an abundant number, since it is smaller than the sum of its proper divisors (2765788576).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2242536032 is a wasteful number, since it uses less digits than its factorization.
2242536032 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1564 (or 1556 counting only the distinct ones).
The product of its (nonzero) digits is 17280, while the sum is 29.
The square root of 2242536032 is about 47355.4224139116. The cubic root of 2242536032 is about 1308.9201193249.
Adding to 2242536032 its reverse (2306352422), we get a palindrome (4548888454).
The spelling of 2242536032 in words is "two billion, two hundred forty-two million, five hundred thirty-six thousand, thirty-two".
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