Base | Representation |
---|---|
bin | 1000010110110010… |
… | …1111100101100100 |
3 | 12210022210020100000 |
4 | 2011230233211210 |
5 | 14043213131410 |
6 | 1010325221300 |
7 | 106405012113 |
oct | 20554574544 |
9 | 5708706300 |
10 | 2243098980 |
11 | a51197511 |
12 | 527261830 |
13 | 299941905 |
14 | 173c99c7a |
15 | d1dd1dc0 |
hex | 85b2f964 |
2243098980 has 144 divisors (see below), whose sum is σ = 7126164864. Its totient is φ = 592220160.
The previous prime is 2243098939. The next prime is 2243098981. The reversal of 2243098980 is 898903422.
2243098980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (2243098981) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498340 + ... + 502820.
It is an arithmetic number, because the mean of its divisors is an integer number (49487256).
Almost surely, 22243098980 is an apocalyptic number.
2243098980 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 2243098980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3563082432).
2243098980 is an abundant number, since it is smaller than the sum of its proper divisors (4883065884).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2243098980 is a wasteful number, since it uses less digits than its factorization.
2243098980 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4608 (or 4594 counting only the distinct ones).
The product of its (nonzero) digits is 248832, while the sum is 45.
The square root of 2243098980 is about 47361.3659009113. The cubic root of 2243098980 is about 1309.0296370470.
It can be divided in two parts, 224309 and 8980, that added together give a square (233289 = 4832).
The spelling of 2243098980 in words is "two billion, two hundred forty-three million, ninety-eight thousand, nine hundred eighty".
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