| Base | Representation |
|---|---|
| bin | 111110101001101… |
| … | …1000101011100000 |
| 3 | 12102111201112200000 |
| 4 | 1331103120223200 |
| 5 | 13301132440244 |
| 6 | 544334100000 |
| 7 | 103044456405 |
| oct | 17523305340 |
| 9 | 5374645600 |
| 10 | 2102233824 |
| 11 | 989724429 |
| 12 | 4a804a600 |
| 13 | 2766c0852 |
| 14 | 15d2ac2ac |
| 15 | c4859169 |
| hex | 7d4d8ae0 |
2102233824 has 144 divisors (see below), whose sum is σ = 6224203440. Its totient is φ = 697973760.
The previous prime is 2102233823. The next prime is 2102233829. The reversal of 2102233824 is 4283322012.
2102233824 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2102233823) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3180054 + ... + 3180714.
It is an arithmetic number, because the mean of its divisors is an integer number (43223635).
Almost surely, 22102233824 is an apocalyptic number.
2102233824 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 2102233824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3112101720).
2102233824 is an abundant number, since it is smaller than the sum of its proper divisors (4121969616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2102233824 is an equidigital number, since it uses as much as digits as its factorization.
2102233824 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1095 (or 1075 counting only the distinct ones).
The product of its (nonzero) digits is 4608, while the sum is 27.
The square root of 2102233824 is about 45850.1234894738. The cubic root of 2102233824 is about 1281.0330657459.
Adding to 2102233824 its reverse (4283322012), we get a palindrome (6385555836).
The spelling of 2102233824 in words is "two billion, one hundred two million, two hundred thirty-three thousand, eight hundred twenty-four".
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