| Base | Representation |
|---|---|
| bin | 1000011000110001… |
| … | …1000011100110100 |
| 3 | 12210220101121100021 |
| 4 | 2012030120130310 |
| 5 | 14102324032240 |
| 6 | 1011223054524 |
| 7 | 106535344315 |
| oct | 20614303464 |
| 9 | 5726347307 |
| 10 | 2251392820 |
| 11 | a55941826 |
| 12 | 529ba1444 |
| 13 | 29b586a01 |
| 14 | 17501860c |
| 15 | d29be54a |
| hex | 86318734 |
2251392820 has 48 divisors (see below), whose sum is σ = 4887867600. Its totient is φ = 870497280.
The previous prime is 2251392817. The next prime is 2251392823. The reversal of 2251392820 is 282931522.
It is an interprime number because it is at equal distance from previous prime (2251392817) and next prime (2251392823).
It can be written as a sum of positive squares in 8 ways, for example, as 4822416 + 2246570404 = 2196^2 + 47398^2 .
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2251392823) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76786 + ... + 101974.
It is an arithmetic number, because the mean of its divisors is an integer number (101830575).
Almost surely, 22251392820 is an apocalyptic number.
2251392820 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 2251392820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443933800).
2251392820 is an abundant number, since it is smaller than the sum of its proper divisors (2636474780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2251392820 is a wasteful number, since it uses less digits than its factorization.
2251392820 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 25348 (or 25346 counting only the distinct ones).
The product of its (nonzero) digits is 17280, while the sum is 34.
The square root of 2251392820 is about 47448.8442430372. The cubic root of 2251392820 is about 1310.6410280739.
The spelling of 2251392820 in words is "two billion, two hundred fifty-one million, three hundred ninety-two thousand, eight hundred twenty".
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