Base | Representation |
---|---|
bin | 1000001111101011… |
… | …0000111010100000 |
3 | 12201020120020002010 |
4 | 2003322300322200 |
5 | 14013041020000 |
6 | 1003340552520 |
7 | 105563026305 |
oct | 20372607240 |
9 | 5636506063 |
10 | 2213220000 |
11 | a36339a42 |
12 | 519252740 |
13 | 2936aca44 |
14 | 16dd1d0ac |
15 | ce47dd50 |
hex | 83eb0ea0 |
2213220000 has 120 divisors (see below), whose sum is σ = 7260001056. Its totient is φ = 590176000.
The previous prime is 2213219963. The next prime is 2213220013. The reversal of 2213220000 is 223122.
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-3 number, since 3×22132200003 (a number of 29 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is an unprimeable number.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 41557 + ... + 78443.
Almost surely, 22213220000 is an apocalyptic number.
2213220000 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 2213220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630000528).
2213220000 is an abundant number, since it is smaller than the sum of its proper divisors (5046781056).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2213220000 is an equidigital number, since it uses as much as digits as its factorization.
2213220000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 36920 (or 36897 counting only the distinct ones).
The product of its (nonzero) digits is 48, while the sum is 12.
The square root of 2213220000 is about 47044.8721966592. The cubic root of 2213220000 is about 1303.1913701395.
Adding to 2213220000 its reverse (223122), we get a palindrome (2213443122).
The spelling of 2213220000 in words is "two billion, two hundred thirteen million, two hundred twenty thousand".
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