Base | Representation |
---|---|
bin | 11010100110010… |
… | …00110000010100 |
3 | 120112211200122200 |
4 | 31103020300110 |
5 | 424104323104 |
6 | 34050124500 |
7 | 5346330543 |
oct | 1523106024 |
9 | 515750580 |
10 | 223120404 |
11 | 104a44731 |
12 | 62880730 |
13 | 372c0b10 |
14 | 218c015a |
15 | 148c4b39 |
hex | d4c8c14 |
223120404 has 36 divisors (see below), whose sum is σ = 607384596. Its totient is φ = 68652288.
The previous prime is 223120399. The next prime is 223120409. The reversal of 223120404 is 404021322.
It is an interprime number because it is at equal distance from previous prime (223120399) and next prime (223120409).
It can be written as a sum of positive squares in 2 ways, for example, as 61779600 + 161340804 = 7860^2 + 12702^2 .
It is a tau number, because it is divible by the number of its divisors (36).
It is a super-3 number, since 3×2231204043 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223120409) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 237909 + ... + 238844.
Almost surely, 2223120404 is an apocalyptic number.
It is an amenable number.
223120404 is an abundant number, since it is smaller than the sum of its proper divisors (384264192).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223120404 is a wasteful number, since it uses less digits than its factorization.
223120404 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 476776 (or 476771 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 223120404 is about 14937.2154031466. The cubic root of 223120404 is about 606.5218195968.
Adding to 223120404 its reverse (404021322), we get a palindrome (627141726).
The spelling of 223120404 in words is "two hundred twenty-three million, one hundred twenty thousand, four hundred four".
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