| Base | Representation |
|---|---|
| bin | 111110101001110… |
| … | …0001011000000000 |
| 3 | 12102111210100112010 |
| 4 | 1331103201120000 |
| 5 | 13301140110230 |
| 6 | 544334532520 |
| 7 | 103044665265 |
| oct | 17523413000 |
| 9 | 5374710463 |
| 10 | 2102269440 |
| 11 | 989749167 |
| 12 | 4a8067140 |
| 13 | 276703b1b |
| 14 | 15d2bb26c |
| 15 | c48649b0 |
| hex | 7d4e1600 |
2102269440 has 160 divisors (see below), whose sum is σ = 7074904320. Its totient is φ = 531062784.
The previous prime is 2102269427. The next prime is 2102269447. The reversal of 2102269440 is 449622012.
It is a tau number, because it is divible by the number of its divisors (160).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 2102269398 and 2102269407.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2102269447) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138717 + ... + 153123.
It is an arithmetic number, because the mean of its divisors is an integer number (44218152).
Almost surely, 22102269440 is an apocalyptic number.
2102269440 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 2102269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537452160).
2102269440 is an abundant number, since it is smaller than the sum of its proper divisors (4972634880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2102269440 is a wasteful number, since it uses less digits than its factorization.
2102269440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14452 (or 14436 counting only the distinct ones).
The product of its (nonzero) digits is 6912, while the sum is 30.
The square root of 2102269440 is about 45850.5118837293. The cubic root of 2102269440 is about 1281.0403001165.
The spelling of 2102269440 in words is "two billion, one hundred two million, two hundred sixty-nine thousand, four hundred forty".
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