Base | Representation |
---|---|
bin | 11010100111000… |
… | …00001000100100 |
3 | 120120000120000100 |
4 | 31103200020210 |
5 | 424120404124 |
6 | 34052144100 |
7 | 5350206663 |
oct | 1523401044 |
9 | 516016010 |
10 | 223216164 |
11 | 104aaa676 |
12 | 62908030 |
13 | 37325592 |
14 | 21906dda |
15 | 148e31c9 |
hex | d4e0224 |
223216164 has 36 divisors (see below), whose sum is σ = 565176976. Its totient is φ = 74281968.
The previous prime is 223216121. The next prime is 223216187. The reversal of 223216164 is 461612322.
223216164 is a `hidden beast` number, since 2 + 23 + 21 + 616 + 4 = 666.
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-3 number, since 3×2232161643 (a number of 26 digits) contains 333 as substring.
It is a nude number because it is divisible by every one of its digits.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18327 + ... + 27969.
Almost surely, 2223216164 is an apocalyptic number.
It is an amenable number.
223216164 is an abundant number, since it is smaller than the sum of its proper divisors (341960812).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223216164 is a wasteful number, since it uses less digits than its factorization.
223216164 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10296 (or 10291 counting only the distinct ones).
The product of its digits is 3456, while the sum is 27.
The square root of 223216164 is about 14940.4204760107. The cubic root of 223216164 is about 606.6085772715.
Adding to 223216164 its reverse (461612322), we get a palindrome (684828486).
The spelling of 223216164 in words is "two hundred twenty-three million, two hundred sixteen thousand, one hundred sixty-four".
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