Base | Representation |
---|---|
bin | 111111101101111… |
… | …1010000101100000 |
3 | 12112000001210010220 |
4 | 1333123322011200 |
5 | 13334313202430 |
6 | 552053123040 |
7 | 103660613664 |
oct | 17733720540 |
9 | 5460053126 |
10 | 2138022240 |
11 | 9a7948832 |
12 | 4b8029480 |
13 | 280c41423 |
14 | 163d468a4 |
15 | c7a78110 |
hex | 7f6fa160 |
2138022240 has 48 divisors (see below), whose sum is σ = 6734771568. Its totient is φ = 570139136.
The previous prime is 2138022239. The next prime is 2138022241. The reversal of 2138022240 is 422208312.
It is an interprime number because it is at equal distance from previous prime (2138022239) and next prime (2138022241).
It is a tau number, because it is divible by the number of its divisors (48).
It is a super-2 number, since 2×21380222402 = 9142278197469235200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 2138022240.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2138022241) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2226627 + ... + 2227586.
It is an arithmetic number, because the mean of its divisors is an integer number (140307741).
Almost surely, 22138022240 is an apocalyptic number.
2138022240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
2138022240 is an abundant number, since it is smaller than the sum of its proper divisors (4596749328).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2138022240 is a wasteful number, since it uses less digits than its factorization.
2138022240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4454231 (or 4454223 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 24.
The square root of 2138022240 is about 46238.7525783298. The cubic root of 2138022240 is about 1288.2616329995.
The spelling of 2138022240 in words is "two billion, one hundred thirty-eight million, twenty-two thousand, two hundred forty".
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