Base | Representation |
---|---|
bin | 1100011001111111… |
… | …0010100101100000 |
3 | 22121002101211100120 |
4 | 3012133302211200 |
5 | 23310014104212 |
6 | 1310242120240 |
7 | 145345265205 |
oct | 30637624540 |
9 | 8532354316 |
10 | 3330222432 |
11 | 1459907449 |
12 | 78b350080 |
13 | 410c34624 |
14 | 238405cac |
15 | 14757288c |
hex | c67f2960 |
3330222432 has 96 divisors (see below), whose sum is σ = 8914147200. Its totient is φ = 1088299008.
The previous prime is 3330222431. The next prime is 3330222433. The reversal of 3330222432 is 2342220333.
It is a happy number.
3330222432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (3330222431) and next prime (3330222433).
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×33302224322 = 22180762893191989248, which contains 22 as substring.
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 (3330222431) 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, 3267619 + ... + 3268637.
It is an arithmetic number, because the mean of its divisors is an integer number (92855700).
Almost surely, 23330222432 is an apocalyptic number.
3330222432 is a gapful number since it is divisible by the number (32) 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 3330222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457073600).
3330222432 is an abundant number, since it is smaller than the sum of its proper divisors (5583924768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3330222432 is a wasteful number, since it uses less digits than its factorization.
3330222432 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1668 (or 1660 counting only the distinct ones).
The product of its (nonzero) digits is 5184, while the sum is 24.
The square root of 3330222432 is about 57708.0794343392. The cubic root of 3330222432 is about 1493.3367306116.
Adding to 3330222432 its reverse (2342220333), we get a palindrome (5672442765).
The spelling of 3330222432 in words is "three billion, three hundred thirty million, two hundred twenty-two thousand, four hundred thirty-two".
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