Base | Representation |
---|---|
bin | 11010010110000… |
… | …11001010001100 |
3 | 120101211222110111 |
4 | 31023003022030 |
5 | 423034002312 |
6 | 33532445404 |
7 | 5322320560 |
oct | 1513031214 |
9 | 511758414 |
10 | 221000332 |
11 | 103826903 |
12 | 62019864 |
13 | 36a2ab37 |
14 | 214cb6a0 |
15 | 146068a7 |
hex | d2c328c |
221000332 has 48 divisors (see below), whose sum is σ = 454970880. Its totient is φ = 91958400.
The previous prime is 221000327. The next prime is 221000347. The reversal of 221000332 is 233000122.
It is a happy number.
It is a super-2 number, since 2×2210003322 = 97682293488220448, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356719 + ... + 357337.
It is an arithmetic number, because the mean of its divisors is an integer number (9478560).
Almost surely, 2221000332 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 221000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227485440).
221000332 is an abundant number, since it is smaller than the sum of its proper divisors (233970548).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221000332 is a wasteful number, since it uses less digits than its factorization.
221000332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 982 (or 980 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 13.
The square root of 221000332 is about 14866.0799136827. The cubic root of 221000332 is about 604.5946623542.
Adding to 221000332 its reverse (233000122), we get a palindrome (454000454).
The spelling of 221000332 in words is "two hundred twenty-one million, three hundred thirty-two", and thus it is an aban number.
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