Base | Representation |
---|---|
bin | 1000010001100001… |
… | …1100010101001100 |
3 | 12201210012111020201 |
4 | 2010120130111030 |
5 | 14022034000022 |
6 | 1004215423244 |
7 | 106016121460 |
oct | 20430342514 |
9 | 5653174221 |
10 | 2221000012 |
11 | a3a773200 |
12 | 51b984b24 |
13 | 2951a4cba |
14 | 170d864a0 |
15 | ceeb9127 |
hex | 8461c54c |
2221000012 has 144 divisors (see below), whose sum is σ = 5105157120. Its totient is φ = 826848000.
The previous prime is 2220999997. The next prime is 2221000043. The reversal of 2221000012 is 2100001222.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8195437 + ... + 8195707.
It is an arithmetic number, because the mean of its divisors is an integer number (35452480).
Almost surely, 22221000012 is an apocalyptic number.
2221000012 is a gapful number since it is divisible by the number (22) 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 2221000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552578560).
2221000012 is an abundant number, since it is smaller than the sum of its proper divisors (2884157108).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2221000012 is a wasteful number, since it uses less digits than its factorization.
2221000012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 404 (or 391 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 2221000012 is about 47127.4867991070. The cubic root of 2221000012 is about 1304.7165969536.
Adding to 2221000012 its reverse (2100001222), we get a palindrome (4321001234).
It can be divided in two parts, 22 and 21000012, that multiplied together give a palindrome (462000264).
The spelling of 2221000012 in words is "two billion, two hundred twenty-one million, twelve", and thus it is an aban number.
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