| Base | Representation |
|---|---|
| bin | 11010101001101… |
| … | …11111100100000 |
| 3 | 120120200211101200 |
| 4 | 31110313330200 |
| 5 | 424213411330 |
| 6 | 34104001200 |
| 7 | 5353235415 |
| oct | 1524677440 |
| 9 | 516624350 |
| 10 | 223575840 |
| 11 | 105225924 |
| 12 | 62a60200 |
| 13 | 374201c7 |
| 14 | 2199c10c |
| 15 | 14964a60 |
| hex | d537f20 |
223575840 has 144 divisors (see below), whose sum is σ = 807920568. Its totient is φ = 56107008.
The previous prime is 223575809. The next prime is 223575871. The reversal of 223575840 is 48575322.
223575840 is a `hidden beast` number, since 2 + 2 + 3 + 575 + 84 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (223575809) and next prime (223575871).
It can be written as a sum of positive squares in 4 ways, for example, as 218211984 + 5363856 = 14772^2 + 2316^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 223575795 and 223575804.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19914 + ... + 29046.
Almost surely, 2223575840 is an apocalyptic number.
223575840 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 223575840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403960284).
223575840 is an abundant number, since it is smaller than the sum of its proper divisors (584344728).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223575840 is a wasteful number, since it uses less digits than its factorization.
223575840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 9171 (or 9160 counting only the distinct ones).
The product of its (nonzero) digits is 67200, while the sum is 36.
The square root of 223575840 is about 14952.4526416237. The cubic root of 223575840 is about 606.9342189562.
The spelling of 223575840 in words is "two hundred twenty-three million, five hundred seventy-five thousand, eight hundred forty".
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