Base | Representation |
---|---|
bin | 11010100111101… |
… | …11010100011100 |
3 | 120120012101021200 |
4 | 31103313110130 |
5 | 424131424012 |
6 | 34054155500 |
7 | 5351053602 |
oct | 1523672434 |
9 | 516171250 |
10 | 223311132 |
11 | 105064a60 |
12 | 62952b90 |
13 | 37359885 |
14 | 2192d872 |
15 | 149113dc |
hex | d4f751c |
223311132 has 72 divisors (see below), whose sum is σ = 632482032. Its totient is φ = 65836800.
The previous prime is 223311131. The next prime is 223311149. The reversal of 223311132 is 231113322.
223311132 is a `hidden beast` number, since 223 + 311 + 132 = 666.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223311131) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7032 + ... + 22272.
Almost surely, 2223311132 is an apocalyptic number.
223311132 is a gapful number since it is divisible by the number (22) 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 223311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316241016).
223311132 is an abundant number, since it is smaller than the sum of its proper divisors (409170900).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223311132 is a wasteful number, since it uses less digits than its factorization.
223311132 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 15299 (or 15294 counting only the distinct ones).
The product of its digits is 216, while the sum is 18.
The square root of 223311132 is about 14943.5983618404. The cubic root of 223311132 is about 606.6945928993.
Adding to 223311132 its reverse (231113322), we get a palindrome (454424454).
The spelling of 223311132 in words is "two hundred twenty-three million, three hundred eleven thousand, one hundred thirty-two".
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