Base | Representation |
---|---|
bin | 11010010110100… |
… | …01001101101100 |
3 | 120101221220102122 |
4 | 31023101031230 |
5 | 423042323100 |
6 | 33534012112 |
7 | 5322650450 |
oct | 1513211554 |
9 | 511856378 |
10 | 221057900 |
11 | 103866088 |
12 | 62047038 |
13 | 36a4b0bb |
14 | 21504660 |
15 | 14618985 |
hex | d2d136c |
221057900 has 144 divisors (see below), whose sum is σ = 578629632. Its totient is φ = 71712000.
The previous prime is 221057897. The next prime is 221057909. The reversal of 221057900 is 9750122.
221057900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a self number, because there is not a number n which added to its sum of digits gives 221057900.
It is not an unprimeable number, because it can be changed into a prime (221057909) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1323617 + ... + 1323783.
Almost surely, 2221057900 is an apocalyptic number.
221057900 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 221057900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289314816).
221057900 is an abundant number, since it is smaller than the sum of its proper divisors (357571732).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221057900 is a wasteful number, since it uses less digits than its factorization.
221057900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 280 (or 273 counting only the distinct ones).
The product of its (nonzero) digits is 1260, while the sum is 26.
The square root of 221057900 is about 14868.0160075243. The cubic root of 221057900 is about 604.6471544079.
The spelling of 221057900 in words is "two hundred twenty-one million, fifty-seven thousand, nine hundred".
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