Base | Representation |
---|---|
bin | 1100000000001101… |
… | …1101001000010100 |
3 | 22022120000020002100 |
4 | 3000003131020110 |
5 | 23044331144340 |
6 | 1251421242100 |
7 | 142563443400 |
oct | 30003351024 |
9 | 8276006070 |
10 | 3222131220 |
11 | 1403899970 |
12 | 75b103330 |
13 | 3c471a029 |
14 | 227d0a100 |
15 | 13cd20830 |
hex | c00dd214 |
3222131220 has 216 divisors, whose sum is σ = 12403486368. Its totient is φ = 669513600.
The previous prime is 3222131197. The next prime is 3222131221. The reversal of 3222131220 is 221312223.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 3222131193 and 3222131202.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (3222131221) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80415 + ... + 113625.
It is an arithmetic number, because the mean of its divisors is an integer number (57423548).
Almost surely, 23222131220 is an apocalyptic number.
3222131220 is a gapful number since it is divisible by the number (30) 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 3222131220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6201743184).
3222131220 is an abundant number, since it is smaller than the sum of its proper divisors (9181355148).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3222131220 is a wasteful number, since it uses less digits than its factorization.
3222131220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 33251 (or 33239 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 3222131220 is about 56763.8196389214. The cubic root of 3222131220 is about 1477.0019691056.
Adding to 3222131220 its reverse (221312223), we get a palindrome (3443443443).
The spelling of 3222131220 in words is "three billion, two hundred twenty-two million, one hundred thirty-one thousand, two hundred twenty".
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