Base | Representation |
---|---|
bin | 1000011001110010… |
… | …1100011100000000 |
3 | 12211012102212011000 |
4 | 2012130230130000 |
5 | 14104422401432 |
6 | 1011454452000 |
7 | 106616604303 |
oct | 20634543400 |
9 | 5735385130 |
10 | 2255668992 |
11 | a582a2555 |
12 | 52b504000 |
13 | 29c4231a5 |
14 | 17580cb3a |
15 | d306657c |
hex | 8672c700 |
2255668992 has 144 divisors (see below), whose sum is σ = 6698433280. Its totient is φ = 748735488.
The previous prime is 2255668991. The next prime is 2255669023. The reversal of 2255668992 is 2998665522.
2255668992 is a `hidden beast` number, since 2 + 2 + 556 + 6 + 89 + 9 + 2 = 666.
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 (54).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2255668991) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2121453 + ... + 2122515.
Almost surely, 22255668992 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2255668992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3349216640).
2255668992 is an abundant number, since it is smaller than the sum of its proper divisors (4442764288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2255668992 is a wasteful number, since it uses less digits than its factorization.
2255668992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1395 (or 1375 counting only the distinct ones).
The product of its digits is 4665600, while the sum is 54.
The square root of 2255668992 is about 47493.8837325397. The cubic root of 2255668992 is about 1311.4702898307.
The spelling of 2255668992 in words is "two billion, two hundred fifty-five million, six hundred sixty-eight thousand, nine hundred ninety-two".
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