| Base | Representation |
|---|---|
| bin | 111111100100001… |
| … | …0011011011001000 |
| 3 | 12111122101200122000 |
| 4 | 1333020103123020 |
| 5 | 13332004230034 |
| 6 | 551351031000 |
| 7 | 103566131130 |
| oct | 17710233310 |
| 9 | 5448350560 |
| 10 | 2132883144 |
| 11 | 9a4a58747 |
| 12 | 4b636b460 |
| 13 | 27cb62242 |
| 14 | 1633a9ac0 |
| 15 | c73b0599 |
| hex | 7f2136c8 |
2132883144 has 128 divisors (see below), whose sum is σ = 6807072000. Its totient is φ = 606154752.
The previous prime is 2132883139. The next prime is 2132883149. The reversal of 2132883144 is 4413882312.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (2132883139) and next prime (2132883149).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 2132883099 and 2132883108.
It is not an unprimeable number, because it can be changed into a prime (2132883149) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288162 + ... + 295470.
It is an arithmetic number, because the mean of its divisors is an integer number (53180250).
Almost surely, 22132883144 is an apocalyptic number.
2132883144 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 2132883144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3403536000).
2132883144 is an abundant number, since it is smaller than the sum of its proper divisors (4674188856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2132883144 is a wasteful number, since it uses less digits than its factorization.
2132883144 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7524 (or 7514 counting only the distinct ones).
The product of its digits is 36864, while the sum is 36.
The square root of 2132883144 is about 46183.1478355471. The cubic root of 2132883144 is about 1287.2286203908.
The spelling of 2132883144 in words is "two billion, one hundred thirty-two million, eight hundred eighty-three thousand, one hundred forty-four".
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