Base | Representation |
---|---|
bin | 11010100110010… |
… | …01011101111000 |
3 | 120112211211122200 |
4 | 31103021131320 |
5 | 424104421240 |
6 | 34050150200 |
7 | 5346342210 |
oct | 1523113570 |
9 | 515754580 |
10 | 223123320 |
11 | 104a46942 |
12 | 62882360 |
13 | 372c2244 |
14 | 218c1240 |
15 | 148c5930 |
hex | d4c9778 |
223123320 has 192 divisors, whose sum is σ = 851497920. Its totient is φ = 49600512.
The previous prime is 223123291. The next prime is 223123387. The reversal of 223123320 is 23321322.
It is a happy number.
223123320 is a `hidden beast` number, since 22 + 312 + 332 + 0 = 666.
It is a super-3 number, since 3×2231233203 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 223123293 and 223123302.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92044 + ... + 94436.
It is an arithmetic number, because the mean of its divisors is an integer number (4434885).
Almost surely, 2223123320 is an apocalyptic number.
223123320 is a gapful number since it is divisible by the number (20) 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 223123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425748960).
223123320 is an abundant number, since it is smaller than the sum of its proper divisors (628374600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223123320 is a wasteful number, since it uses less digits than its factorization.
223123320 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2454 (or 2447 counting only the distinct ones).
The product of its (nonzero) digits is 432, while the sum is 18.
The square root of 223123320 is about 14937.3130113819. The cubic root of 223123320 is about 606.5244618322.
Adding to 223123320 its reverse (23321322), we get a palindrome (246444642).
The spelling of 223123320 in words is "two hundred twenty-three million, one hundred twenty-three thousand, three hundred twenty".
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