Base | Representation |
---|---|
bin | 1000011101001100… |
… | …0011011110000010 |
3 | 12212012020211122000 |
4 | 2013103003132002 |
5 | 14122044402411 |
6 | 1013124124430 |
7 | 110151664650 |
oct | 20723033602 |
9 | 5765224560 |
10 | 2269919106 |
11 | a65345904 |
12 | 534236716 |
13 | 2a2372400 |
14 | 17767bdd0 |
15 | d442d956 |
hex | 874c3782 |
2269919106 has 96 divisors (see below), whose sum is σ = 6242613120. Its totient is φ = 598643136.
The previous prime is 2269919083. The next prime is 2269919123. The reversal of 2269919106 is 6019199622.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46116 + ... + 81648.
It is an arithmetic number, because the mean of its divisors is an integer number (65027220).
Almost surely, 22269919106 is an apocalyptic number.
2269919106 is a gapful number since it is divisible by the number (26) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 2269919106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3121306560).
2269919106 is an abundant number, since it is smaller than the sum of its proper divisors (3972694014).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2269919106 is a wasteful number, since it uses less digits than its factorization.
2269919106 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 35577 (or 35558 counting only the distinct ones).
The product of its (nonzero) digits is 104976, while the sum is 45.
The square root of 2269919106 is about 47643.6680577808. The cubic root of 2269919106 is about 1314.2262178025.
The spelling of 2269919106 in words is "two billion, two hundred sixty-nine million, nine hundred nineteen thousand, one hundred six".
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