Base | Representation |
---|---|
bin | 1100111000111010000… |
… | …0111010000111110100 |
3 | 210011120010202010121200 |
4 | 3032032200322013310 |
5 | 12111444141322234 |
6 | 245420414012500 |
7 | 21666230456625 |
oct | 3161640720764 |
9 | 704503663550 |
10 | 221434323444 |
11 | 85a009a26a4 |
12 | 36ab9aa7130 |
13 | 17b5bc023b9 |
14 | aa08a91a4c |
15 | 5b600b4d99 |
hex | 338e83a1f4 |
221434323444 has 72 divisors (see below), whose sum is σ = 595030406880. Its totient is φ = 69234264000.
The previous prime is 221434323443. The next prime is 221434323491. The reversal of 221434323444 is 444323434122.
221434323444 is a `hidden beast` number, since 2 + 214 + 3 + 432 + 3 + 4 + 4 + 4 = 666.
221434323444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×2214343234442 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 221434323399 and 221434323408.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (221434323443) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1533562 + ... + 1671729.
Almost surely, 2221434323444 is an apocalyptic number.
It is an amenable number.
221434323444 is an abundant number, since it is smaller than the sum of its proper divisors (373596083436).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
221434323444 is a wasteful number, since it uses less digits than its factorization.
221434323444 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3205421 (or 3205416 counting only the distinct ones).
The product of its digits is 221184, while the sum is 36.
Adding to 221434323444 its reverse (444323434122), we get a palindrome (665757757566).
The spelling of 221434323444 in words is "two hundred twenty-one billion, four hundred thirty-four million, three hundred twenty-three thousand, four hundred forty-four".
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