Base | Representation |
---|---|
bin | 1100000000001100… |
… | …0000100011000000 |
3 | 22022112210021111012 |
4 | 3000003000203000 |
5 | 23044313423034 |
6 | 1251414540052 |
7 | 142562445146 |
oct | 30003004300 |
9 | 8275707435 |
10 | 3222014144 |
11 | 1403819a08 |
12 | 75b067628 |
13 | 3c46a895b |
14 | 227cb9596 |
15 | 13cceacce |
hex | c00c08c0 |
3222014144 has 112 divisors (see below), whose sum is σ = 6803136000. Its totient is φ = 1511731200.
The previous prime is 3222014137. The next prime is 3222014149. The reversal of 3222014144 is 4414102223.
It is not an unprimeable number, because it can be changed into a prime (3222014149) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16869089 + ... + 16869279.
Almost surely, 23222014144 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 3222014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3401568000).
3222014144 is an abundant number, since it is smaller than the sum of its proper divisors (3581121856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3222014144 is a wasteful number, since it uses less digits than its factorization.
3222014144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 442 (or 432 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 23.
The square root of 3222014144 is about 56762.7883740748. The cubic root of 3222014144 is about 1476.9840799545.
Adding to 3222014144 its reverse (4414102223), we get a palindrome (7636116367).
It can be divided in two parts, 32220 and 14144, that added together give a palindrome (46364).
The spelling of 3222014144 in words is "three billion, two hundred twenty-two million, fourteen thousand, one hundred forty-four".
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