Base | Representation |
---|---|
bin | 1000001111101100… |
… | …1001111111101100 |
3 | 12201020202110000000 |
4 | 2003323021333230 |
5 | 14013102311412 |
6 | 1003343104300 |
7 | 105563634645 |
oct | 20373117754 |
9 | 5636673000 |
10 | 2213322732 |
11 | a363aa145 |
12 | 5192a2090 |
13 | 29371772a |
14 | 16dd486cc |
15 | ce49e4dc |
hex | 83ec9fec |
2213322732 has 72 divisors (see below), whose sum is σ = 5820658480. Its totient is φ = 736307496.
The previous prime is 2213322677. The next prime is 2213322739. The reversal of 2213322732 is 2372233122.
It is a happy number.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 2213322696 and 2213322705.
It is not an unprimeable number, because it can be changed into a prime (2213322739) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4399993 + ... + 4400495.
Almost surely, 22213322732 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 2213322732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2910329240).
2213322732 is an abundant number, since it is smaller than the sum of its proper divisors (3607335748).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2213322732 is an frugal number, since it uses more digits than its factorization.
2213322732 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1031 (or 508 counting only the distinct ones).
The product of its digits is 6048, while the sum is 27.
The square root of 2213322732 is about 47045.9640351858. The cubic root of 2213322732 is about 1303.2115334287.
Multiplying 2213322732 by its sum of digits (27), we get a square (59759713764 = 2444582).
2213322732 divided by its sum of digits (27) gives a square (81974916 = 90542).
Adding to 2213322732 its reverse (2372233122), we get a palindrome (4585555854).
The spelling of 2213322732 in words is "two billion, two hundred thirteen million, three hundred twenty-two thousand, seven hundred thirty-two".
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