Base | Representation |
---|---|
bin | 11011001100010… |
… | …00011110100000 |
3 | 120220012200101011 |
4 | 31212020132200 |
5 | 431343200000 |
6 | 34344550304 |
7 | 5436550402 |
oct | 1546103640 |
9 | 526180334 |
10 | 228100000 |
11 | 1078359a7 |
12 | 64482394 |
13 | 3834551b |
14 | 22418b72 |
15 | 1505a2ba |
hex | d9887a0 |
228100000 has 72 divisors (see below), whose sum is σ = 561549996. Its totient is φ = 91200000.
The previous prime is 228099983. The next prime is 228100007. The reversal of 228100000 is 1822.
It can be written as a sum of positive squares in 6 ways, for example, as 20394256 + 207705744 = 4516^2 + 14412^2 .
It is a super-2 number, since 2×2281000002 = 104059220000000000, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (228100007) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98860 + ... + 101140.
Almost surely, 2228100000 is an apocalyptic number.
228100000 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 228100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280774998).
228100000 is an abundant number, since it is smaller than the sum of its proper divisors (333449996).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
228100000 is an frugal number, since it uses more digits than its factorization.
228100000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2316 (or 2288 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 13.
The square root of 228100000 is about 15102.9798384292. The cubic root of 228100000 is about 611.0007759175. Note that the first 3 decimals are identical.
Adding to 228100000 its reverse (1822), we get a palindrome (228101822).
The spelling of 228100000 in words is "two hundred twenty-eight million, one hundred thousand".
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