Base | Representation |
---|---|
bin | 1000101001101000… |
… | …1010011110000000 |
3 | 12222211110122011020 |
4 | 2022122022132000 |
5 | 14223430130212 |
6 | 1022230545440 |
7 | 111354434631 |
oct | 21232123600 |
9 | 5884418136 |
10 | 2322114432 |
11 | a91855a40 |
12 | 549808280 |
13 | 2b0118b11 |
14 | 180587888 |
15 | d8cddd8c |
hex | 8a68a780 |
2322114432 has 128 divisors (see below), whose sum is σ = 6796725120. Its totient is φ = 696576000.
The previous prime is 2322114407. The next prime is 2322114437. The reversal of 2322114432 is 2344112232.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2322114437) 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, 423903 + ... + 429345.
It is an arithmetic number, because the mean of its divisors is an integer number (53099415).
Almost surely, 22322114432 is an apocalyptic number.
2322114432 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 2322114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398362560).
2322114432 is an abundant number, since it is smaller than the sum of its proper divisors (4474610688).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2322114432 is a wasteful number, since it uses less digits than its factorization.
2322114432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5572 (or 5560 counting only the distinct ones).
The product of its digits is 2304, while the sum is 24.
The square root of 2322114432 is about 48188.3225688548. The cubic root of 2322114432 is about 1324.2232413217.
Adding to 2322114432 its reverse (2344112232), we get a palindrome (4666226664).
The spelling of 2322114432 in words is "two billion, three hundred twenty-two million, one hundred fourteen thousand, four hundred thirty-two".
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