| Base | Representation |
|---|---|
| bin | 111100010100111… |
| … | …0111101101010000 |
| 3 | 12020001222010222221 |
| 4 | 1320221313231100 |
| 5 | 13121201221000 |
| 6 | 532510310424 |
| 7 | 101106526114 |
| oct | 17051675520 |
| 9 | 5201863887 |
| 10 | 2024242000 |
| 11 | 9496a4a80 |
| 12 | 485ab8414 |
| 13 | 2634b4541 |
| 14 | 152ba9744 |
| 15 | bcaa061a |
| hex | 78a77b50 |
2024242000 has 160 divisors (see below), whose sum is σ = 5398368768. Its totient is φ = 728000000.
The previous prime is 2024241979. The next prime is 2024242009. The reversal of 2024242000 is 2424202.
2024242000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×20242420003 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (16).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2024242009) 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 31 ways as a sum of consecutive naturals, for example, 2221545 + ... + 2222455.
Almost surely, 22024242000 is an apocalyptic number.
2024242000 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 2024242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2699184384).
2024242000 is an abundant number, since it is smaller than the sum of its proper divisors (3374126768).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2024242000 is a wasteful number, since it uses less digits than its factorization.
2024242000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1046 (or 1030 counting only the distinct ones).
The product of its (nonzero) digits is 256, while the sum is 16.
The square root of 2024242000 is about 44991.5769894766. The cubic root of 2024242000 is about 1264.9911209779.
Adding to 2024242000 its reverse (2424202), we get a palindrome (2026666202).
The spelling of 2024242000 in words is "two billion, twenty-four million, two hundred forty-two thousand".
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