Base | Representation |
---|---|
bin | 1000010110110011… |
… | …0111011010001100 |
3 | 12210022211212021200 |
4 | 2011230313122030 |
5 | 14043220143040 |
6 | 1010330025500 |
7 | 106405204404 |
oct | 20554673214 |
9 | 5708755250 |
10 | 2243131020 |
11 | a51209599 |
12 | 527278290 |
13 | 299953380 |
14 | 173ca7804 |
15 | d1ddb630 |
hex | 85b3768c |
2243131020 has 144 divisors (see below), whose sum is σ = 7373769312. Its totient is φ = 548674560.
The previous prime is 2243130997. The next prime is 2243131057. The reversal of 2243131020 is 201313422.
2243131020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2243130984 and 2243131002.
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, 378480 + ... + 384360.
Almost surely, 22243131020 is an apocalyptic number.
2243131020 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 2243131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686884656).
2243131020 is an abundant number, since it is smaller than the sum of its proper divisors (5130638292).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2243131020 is a wasteful number, since it uses less digits than its factorization.
2243131020 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6072 (or 6067 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 18.
The square root of 2243131020 is about 47361.7041500831. The cubic root of 2243131020 is about 1309.0358696609.
Adding to 2243131020 its reverse (201313422), we get a palindrome (2444444442).
The spelling of 2243131020 in words is "two billion, two hundred forty-three million, one hundred thirty-one thousand, twenty".
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