Base | Representation |
---|---|
bin | 1000010011101110… |
… | …0111101001011000 |
3 | 12202102112222121121 |
4 | 2010323213221120 |
5 | 14031414041100 |
6 | 1005145215024 |
7 | 106160366131 |
oct | 20473475130 |
9 | 5672488547 |
10 | 2230221400 |
11 | a449a1390 |
12 | 522a91474 |
13 | 297083344 |
14 | 1722a6c88 |
15 | d0bdb51a |
hex | 84ee7a58 |
2230221400 has 96 divisors (see below), whose sum is σ = 5713228080. Its totient is φ = 802880000.
The previous prime is 2230221379. The next prime is 2230221407. The reversal of 2230221400 is 41220322.
2230221400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2230221407) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 217182 + ... + 227218.
Almost surely, 22230221400 is an apocalyptic number.
2230221400 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 2230221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856614040).
2230221400 is an abundant number, since it is smaller than the sum of its proper divisors (3483006680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2230221400 is a wasteful number, since it uses less digits than its factorization.
2230221400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10165 (or 10156 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 16.
The square root of 2230221400 is about 47225.2199571373. The cubic root of 2230221400 is about 1306.5197914994.
Adding to 2230221400 its reverse (41220322), we get a palindrome (2271441722).
It can be divided in two parts, 223022 and 1400, that added together give a palindrome (224422).
The spelling of 2230221400 in words is "two billion, two hundred thirty million, two hundred twenty-one thousand, four hundred".
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