Base | Representation |
---|---|
bin | 1100110111101101011… |
… | …1001010000110001100 |
3 | 210010201202010020011200 |
4 | 3031323113022012030 |
5 | 12110314412002312 |
6 | 245324454545500 |
7 | 21655246330560 |
oct | 3157327120614 |
9 | 703652106150 |
10 | 221113000332 |
11 | 85856584904 |
12 | 36a2a368290 |
13 | 17b0a479b93 |
14 | a9b812b6a0 |
15 | 5b41c930dc |
hex | 337b5ca18c |
221113000332 has 144 divisors (see below), whose sum is σ = 660442036800. Its totient is φ = 61054788096.
The previous prime is 221113000331. The next prime is 221113000393. The reversal of 221113000332 is 233000311122.
221113000332 is a `hidden beast` number, since 2 + 21 + 11 + 300 + 0 + 332 = 666.
It is a super-2 number, since 2×2211130003322 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (221113000331) 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, 1309698 + ... + 1468854.
Almost surely, 2221113000332 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 221113000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330221018400).
221113000332 is an abundant number, since it is smaller than the sum of its proper divisors (439329036468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221113000332 is a wasteful number, since it uses less digits than its factorization.
221113000332 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 159360 (or 159355 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 221113000332 its reverse (233000311122), we get a palindrome (454113311454).
The spelling of 221113000332 in words is "two hundred twenty-one billion, one hundred thirteen million, three hundred thirty-two", and thus it is an aban number.
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