Base | Representation |
---|---|
bin | 11010010111001… |
… | …01010011101000 |
3 | 120102010002022210 |
4 | 31023211103220 |
5 | 423102441300 |
6 | 33535445120 |
7 | 5323442421 |
oct | 1513452350 |
9 | 512102283 |
10 | 221140200 |
11 | 1039119a6 |
12 | 620867a0 |
13 | 36a796b8 |
14 | 21526648 |
15 | 14633050 |
hex | d2e54e8 |
221140200 has 96 divisors (see below), whose sum is σ = 695892960. Its totient is φ = 58080000.
The previous prime is 221140187. The next prime is 221140223. The reversal of 221140200 is 2041122.
221140200 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 (12).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37450 + ... + 42950.
It is an arithmetic number, because the mean of its divisors is an integer number (7248885).
Almost surely, 2221140200 is an apocalyptic number.
221140200 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 221140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347946480).
221140200 is an abundant number, since it is smaller than the sum of its proper divisors (474752760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221140200 is a wasteful number, since it uses less digits than its factorization.
221140200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5587 (or 5578 counting only the distinct ones).
The product of its (nonzero) digits is 32, while the sum is 12.
The square root of 221140200 is about 14870.7834359861. The cubic root of 221140200 is about 604.7221819407.
Adding to 221140200 its reverse (2041122), we get a palindrome (223181322).
The spelling of 221140200 in words is "two hundred twenty-one million, one hundred forty thousand, two hundred".
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