| Base | Representation |
|---|---|
| bin | 1000011000101101… |
| … | …1101110100000000 |
| 3 | 12210212221101212201 |
| 4 | 2012023131310000 |
| 5 | 14102243341030 |
| 6 | 1011214002544 |
| 7 | 106533324142 |
| oct | 20613356400 |
| 9 | 5725841781 |
| 10 | 2251152640 |
| 11 | a55798330 |
| 12 | 529aa6454 |
| 13 | 29b5015a9 |
| 14 | 174d94c92 |
| 15 | d29732ca |
| hex | 862ddd00 |
2251152640 has 144 divisors (see below), whose sum is σ = 5944409856. Its totient is φ = 809984000.
The previous prime is 2251152613. The next prime is 2251152667. The reversal of 2251152640 is 462511522.
It is an interprime number because it is at equal distance from previous prime (2251152613) and next prime (2251152667).
It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.
It is a junction number, because it is equal to n+sod(n) for n = 2251152599 and 2251152608.
It is a congruent number.
It is an unprimeable number.
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, 1421289 + ... + 1422871.
It is an arithmetic number, because the mean of its divisors is an integer number (41280624).
Almost surely, 22251152640 is an apocalyptic number.
2251152640 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 2251152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972204928).
2251152640 is an abundant number, since it is smaller than the sum of its proper divisors (3693257216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2251152640 is a wasteful number, since it uses less digits than its factorization.
2251152640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1716 (or 1702 counting only the distinct ones).
The product of its (nonzero) digits is 4800, while the sum is 28.
The square root of 2251152640 is about 47446.3132392813. The cubic root of 2251152640 is about 1310.5944197471.
The spelling of 2251152640 in words is "two billion, two hundred fifty-one million, one hundred fifty-two thousand, six hundred forty".
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