Base | Representation |
---|---|
bin | 1000010001010100… |
… | …0100100011111100 |
3 | 12201201112120220200 |
4 | 2010111010203330 |
5 | 14021322204340 |
6 | 1004144443500 |
7 | 106005451020 |
oct | 20425044374 |
9 | 5651476820 |
10 | 2220116220 |
11 | a3a21a1a3 |
12 | 51b619590 |
13 | 294c5594a |
14 | 170bd6380 |
15 | ced92330 |
hex | 845448fc |
2220116220 has 144 divisors (see below), whose sum is σ = 7725402048. Its totient is φ = 505543680.
The previous prime is 2220116209. The next prime is 2220116231. The reversal of 2220116220 is 226110222.
2220116220 is a `hidden beast` number, since 22 + 20 + 1 + 1 + 622 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (2220116209) and next prime (2220116231).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 2220116193 and 2220116202.
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 47 ways as a sum of consecutive naturals, for example, 345840 + ... + 352200.
Almost surely, 22220116220 is an apocalyptic number.
2220116220 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 2220116220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3862701024).
2220116220 is an abundant number, since it is smaller than the sum of its proper divisors (5505285828).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2220116220 is a wasteful number, since it uses less digits than its factorization.
2220116220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6660 (or 6655 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 2220116220 is about 47118.1092574819. The cubic root of 2220116220 is about 1304.5435140979.
Adding to 2220116220 its reverse (226110222), we get a palindrome (2446226442).
The spelling of 2220116220 in words is "two billion, two hundred twenty million, one hundred sixteen thousand, two hundred twenty".
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