Base | Representation |
---|---|
bin | 1100111111100100010… |
… | …1001010011010000000 |
3 | 210100011201222021221122 |
4 | 3033321011022122000 |
5 | 12124124341242344 |
6 | 250314042411412 |
7 | 22061440332434 |
oct | 3177105123200 |
9 | 710151867848 |
10 | 223222212224 |
11 | 86739134a30 |
12 | 37318800b68 |
13 | 1808544195b |
14 | ab382d49c4 |
15 | 5c17029aee |
hex | 33f914a680 |
223222212224 has 64 divisors (see below), whose sum is σ = 485410860000. Its totient is φ = 101405445120.
The previous prime is 223222212131. The next prime is 223222212229. The reversal of 223222212224 is 422212222322.
It is a tau number, because it is divible by the number of its divisors (64).
It is a super-3 number, since 3×2232222122243 (a number of 35 digits) contains 333 as substring.
It is a junction number, because it is equal to n+sod(n) for n = 223222212193 and 223222212202.
It is not an unprimeable number, because it can be changed into a prime (223222212229) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2414402 + ... + 2505150.
Almost surely, 2223222212224 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 223222212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242705430000).
223222212224 is an abundant number, since it is smaller than the sum of its proper divisors (262188647776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223222212224 is a wasteful number, since it uses less digits than its factorization.
223222212224 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 92521 (or 92509 counting only the distinct ones).
The product of its digits is 6144, while the sum is 26.
Adding to 223222212224 its reverse (422212222322), we get a palindrome (645434434546).
The spelling of 223222212224 in words is "two hundred twenty-three billion, two hundred twenty-two million, two hundred twelve thousand, two hundred twenty-four".
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