Base | Representation |
---|---|
bin | 111100100101101… |
… | …0111000111110000 |
3 | 12020200111012002210 |
4 | 1321023113013300 |
5 | 13130423141144 |
6 | 533422412120 |
7 | 101244253110 |
oct | 17113270760 |
9 | 5220435083 |
10 | 2033021424 |
11 | 9536510a5 |
12 | 488a31040 |
13 | 265269675 |
14 | 154013040 |
15 | bd736ab9 |
hex | 792d71f0 |
2033021424 has 160 divisors (see below), whose sum is σ = 6179160064. Its totient is φ = 563915520.
The previous prime is 2033021399. The next prime is 2033021443. The reversal of 2033021424 is 4241203302.
It is a super-2 number, since 2×20330214242 = 8266352220885975552, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a self number, because there is not a number n which added to its sum of digits gives 2033021424.
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 3221589 + ... + 3222219.
Almost surely, 22033021424 is an apocalyptic number.
2033021424 is a gapful number since it is divisible by the number (24) 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 2033021424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3089580032).
2033021424 is an abundant number, since it is smaller than the sum of its proper divisors (4146138640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2033021424 is a wasteful number, since it uses less digits than its factorization.
2033021424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 915 (or 909 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 21.
The square root of 2033021424 is about 45089.0388453779. The cubic root of 2033021424 is about 1266.8172985528.
Adding to 2033021424 its reverse (4241203302), we get a palindrome (6274224726).
The spelling of 2033021424 in words is "two billion, thirty-three million, twenty-one thousand, four hundred twenty-four".
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