Base | Representation |
---|---|
bin | 111100010100101… |
… | …1010011110000000 |
3 | 12020001202001201101 |
4 | 1320221122132000 |
5 | 13121133402430 |
6 | 532503544144 |
7 | 101105520010 |
oct | 17051323600 |
9 | 5201661641 |
10 | 2024122240 |
11 | 949622aa8 |
12 | 485a5b054 |
13 | 263471b8a |
14 | 152b77c40 |
15 | bca79dca |
hex | 78a5a780 |
2024122240 has 128 divisors (see below), whose sum is σ = 5561219520. Its totient is φ = 690094080.
The previous prime is 2024122229. The next prime is 2024122241. The reversal of 2024122240 is 422214202.
It is a tau number, because it is divible by the number of its divisors (128).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2024122241) 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, 863470 + ... + 865810.
Almost surely, 22024122240 is an apocalyptic number.
2024122240 is a gapful number since it is divisible by the number (20) 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 2024122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780609760).
2024122240 is an abundant number, since it is smaller than the sum of its proper divisors (3537097280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2024122240 is a wasteful number, since it uses less digits than its factorization.
2024122240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2560 (or 2548 counting only the distinct ones).
The product of its (nonzero) digits is 512, while the sum is 19.
The square root of 2024122240 is about 44990.2460540060. The cubic root of 2024122240 is about 1264.9661736439.
Adding to 2024122240 its reverse (422214202), we get a palindrome (2446336442).
The spelling of 2024122240 in words is "two billion, twenty-four million, one hundred twenty-two thousand, two hundred forty".
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