Base | Representation |
---|---|
bin | 11010010111001… |
… | …10000101111000 |
3 | 120102010020201220 |
4 | 31023212011320 |
5 | 423103042131 |
6 | 33535512040 |
7 | 5323454664 |
oct | 1513460570 |
9 | 512106656 |
10 | 221143416 |
11 | 10391435a |
12 | 62088620 |
13 | 36a7acc0 |
14 | 215278a4 |
15 | 14633e96 |
hex | d2e6178 |
221143416 has 128 divisors (see below), whose sum is σ = 616896000. Its totient is φ = 65640960.
The previous prime is 221143409. The next prime is 221143421. The reversal of 221143416 is 614341122.
221143416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1484110 + ... + 1484258.
It is an arithmetic number, because the mean of its divisors is an integer number (4819500).
Almost surely, 2221143416 is an apocalyptic number.
221143416 is a gapful number since it is divisible by the number (26) 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 221143416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308448000).
221143416 is an abundant number, since it is smaller than the sum of its proper divisors (395752584).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221143416 is a wasteful number, since it uses less digits than its factorization.
221143416 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 309 (or 305 counting only the distinct ones).
The product of its digits is 1152, while the sum is 24.
The square root of 221143416 is about 14870.8915670850. The cubic root of 221143416 is about 604.7251133798.
Adding to 221143416 its reverse (614341122), we get a palindrome (835484538).
It can be divided in two parts, 22 and 1143416, that multiplied together give a palindrome (25155152).
The spelling of 221143416 in words is "two hundred twenty-one million, one hundred forty-three thousand, four hundred sixteen".
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