Base | Representation |
---|---|
bin | 1000001101110001… |
… | …0000010100000000 |
3 | 12200200111220002020 |
4 | 2003130100110000 |
5 | 14004014102034 |
6 | 1002453321440 |
7 | 105435036036 |
oct | 20334202400 |
9 | 5620456066 |
10 | 2205222144 |
11 | a31877044 |
12 | 516636280 |
13 | 291b3c598 |
14 | 16cc3a556 |
15 | cd8ee249 |
hex | 83710500 |
2205222144 has 72 divisors (see below), whose sum is σ = 5912229120. Its totient is φ = 729673728.
The previous prime is 2205222143. The next prime is 2205222193. The reversal of 2205222144 is 4412225022.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2205222143) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94737 + ... + 115695.
Almost surely, 22205222144 is an apocalyptic number.
2205222144 is a gapful number since it is divisible by the number (24) 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 2205222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2956114560).
2205222144 is an abundant number, since it is smaller than the sum of its proper divisors (3707006976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2205222144 is a wasteful number, since it uses less digits than its factorization.
2205222144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 21115 (or 21101 counting only the distinct ones).
The product of its (nonzero) digits is 2560, while the sum is 24.
The square root of 2205222144 is about 46959.7928445175. The cubic root of 2205222144 is about 1301.6197057807.
Adding to 2205222144 its reverse (4412225022), we get a palindrome (6617447166).
The spelling of 2205222144 in words is "two billion, two hundred five million, two hundred twenty-two thousand, one hundred forty-four".
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