Base | Representation |
---|---|
bin | 111100100111111… |
… | …1100010101100000 |
3 | 12020202202012120120 |
4 | 1321033330111200 |
5 | 13131230104212 |
6 | 533504240240 |
7 | 101260414434 |
oct | 17117742540 |
9 | 5222665516 |
10 | 2034222432 |
11 | 9542a1470 |
12 | 489310080 |
13 | 26559a218 |
14 | 1542469c4 |
15 | bd8c288c |
hex | 793fc560 |
2034222432 has 96 divisors (see below), whose sum is σ = 5895711360. Its totient is φ = 608977920.
The previous prime is 2034222427. The next prime is 2034222433. The reversal of 2034222432 is 2342224302.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (96).
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 (2034222433) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76044 + ... + 99252.
It is an arithmetic number, because the mean of its divisors is an integer number (61413660).
Almost surely, 22034222432 is an apocalyptic number.
2034222432 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 2034222432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947855680).
2034222432 is an abundant number, since it is smaller than the sum of its proper divisors (3861488928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2034222432 is a wasteful number, since it uses less digits than its factorization.
2034222432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23316 (or 23308 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 24.
The square root of 2034222432 is about 45102.3550604622. The cubic root of 2034222432 is about 1267.0667070095.
Adding to 2034222432 its reverse (2342224302), we get a palindrome (4376446734).
The spelling of 2034222432 in words is "two billion, thirty-four million, two hundred twenty-two thousand, four hundred thirty-two".
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