Base | Representation |
---|---|
bin | 1000010001100101… |
… | …0000100100110000 |
3 | 12201210121100210012 |
4 | 2010121100210300 |
5 | 14022112322000 |
6 | 1004224154052 |
7 | 106021002365 |
oct | 20431204460 |
9 | 5653540705 |
10 | 2221214000 |
11 | a3a8a9a55 |
12 | 51ba68928 |
13 | 29524b515 |
14 | 17100046c |
15 | d000c735 |
hex | 84650930 |
2221214000 has 80 divisors (see below), whose sum is σ = 5653670880. Its totient is φ = 841708800.
The previous prime is 2221213957. The next prime is 2221214003. The reversal of 2221214000 is 4121222.
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (2221214003) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8774 + ... + 67226.
It is an arithmetic number, because the mean of its divisors is an integer number (70670886).
Almost surely, 22221214000 is an apocalyptic number.
2221214000 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 2221214000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826835440).
2221214000 is an abundant number, since it is smaller than the sum of its proper divisors (3432456880).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221214000 is a wasteful number, since it uses less digits than its factorization.
2221214000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 58495 (or 58479 counting only the distinct ones).
The product of its (nonzero) digits is 64, while the sum is 14.
The square root of 2221214000 is about 47129.7570543282. The cubic root of 2221214000 is about 1304.7584977081.
Adding to 2221214000 its reverse (4121222), we get a palindrome (2225335222).
The spelling of 2221214000 in words is "two billion, two hundred twenty-one million, two hundred fourteen thousand".
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