Base | Representation |
---|---|
bin | 100100010111010… |
… | …0111100000100000 |
3 | 10011000222120021212 |
4 | 1020232213200200 |
5 | 4444331230000 |
6 | 321024405252 |
7 | 42144234044 |
oct | 11056474040 |
9 | 3130876255 |
10 | 1220180000 |
11 | 57683a326 |
12 | 2a0776828 |
13 | 165a3b800 |
14 | b80a4024 |
15 | 721c4c35 |
hex | 48ba7820 |
1220180000 has 270 divisors, whose sum is σ = 3430580769. Its totient is φ = 426816000.
The previous prime is 1220179999. The next prime is 1220180009. The reversal of 1220180000 is 810221.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 8 ways, for example, as 475763344 + 744416656 = 21812^2 + 27284^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=24700.
It is a Duffinian number.
It is not an unprimeable number, because it can be changed into a prime (1220180009) by changing a digit.
It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 64219991 + ... + 64220009.
Almost surely, 21220180000 is an apocalyptic number.
1220180000 is a gapful number since it is divisible by the number (10) 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 1220180000
1220180000 is an abundant number, since it is smaller than the sum of its proper divisors (2210400769).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1220180000 is an equidigital number, since it uses as much as digits as its factorization.
1220180000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 94 (or 39 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 14.
The square root of 1220180000 is about 34931.0749906154. The cubic root of 1220180000 is about 1068.5822782071.
Multiplying 1220180000 by its product of nonzero digits (32), we get a square (39045760000 = 1976002).
1220180000 divided by its product of nonzero digits (32) gives a square (38130625 = 61752).
Adding to 1220180000 its reverse (810221), we get a palindrome (1220990221).
The spelling of 1220180000 in words is "one billion, two hundred twenty million, one hundred eighty thousand".
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