| Base | Representation |
|---|---|
| bin | 1000000100000001… |
| … | …0001010000000000 |
| 3 | 12120211120102200200 |
| 4 | 2001000101100000 |
| 5 | 13413032102040 |
| 6 | 554433045200 |
| 7 | 104430341301 |
| oct | 20100212000 |
| 9 | 5524512620 |
| 10 | 2164331520 |
| 11 | a1078833a |
| 12 | 5049b6800 |
| 13 | 286523550 |
| 14 | 1676347a8 |
| 15 | ca023630 |
| hex | 81011400 |
2164331520 has 264 divisors, whose sum is σ = 8078460936. Its totient is φ = 532611072.
The previous prime is 2164331503. The next prime is 2164331537. The reversal of 2164331520 is 251334612.
2164331520 is a `hidden beast` number, since 2 + 1 + 643 + 3 + 15 + 2 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (2164331503) and next prime (2164331537).
It can be written as a sum of positive squares in 4 ways, for example, as 137170944 + 2027160576 = 11712^2 + 45024^2 .
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (5) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597234 + ... + 600846.
Almost surely, 22164331520 is an apocalyptic number.
2164331520 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 2164331520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039230468).
2164331520 is an abundant number, since it is smaller than the sum of its proper divisors (5914129416).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2164331520 is a wasteful number, since it uses less digits than its factorization.
2164331520 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3657 (or 3636 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 27.
The square root of 2164331520 is about 46522.3765515048. The cubic root of 2164331520 is about 1293.5243090173.
The spelling of 2164331520 in words is "two billion, one hundred sixty-four million, three hundred thirty-one thousand, five hundred twenty".
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