Base | Representation |
---|---|
bin | 11010101100001… |
… | …10001010110000 |
3 | 120121022002220100 |
4 | 31112012022300 |
5 | 424304134430 |
6 | 34114512400 |
7 | 5356041501 |
oct | 1526061260 |
9 | 517262810 |
10 | 223896240 |
11 | 105424617 |
12 | 62b95700 |
13 | 37502ca9 |
14 | 21a42ba8 |
15 | 149c9960 |
hex | d5862b0 |
223896240 has 120 divisors (see below), whose sum is σ = 777918960. Its totient is φ = 57641472.
The previous prime is 223896217. The next prime is 223896263. The reversal of 223896240 is 42698322.
223896240 is a `hidden beast` number, since 2 + 23 + 8 + 9 + 624 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (223896217) and next prime (223896263).
It is a tau number, because it is divible by the number of its divisors (120).
It is a super-2 number, since 2×2238962402 = 100259052572275200, which contains 22 as substring.
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 = 223896195 and 223896204.
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, 15519 + ... + 26241.
It is an arithmetic number, because the mean of its divisors is an integer number (6482658).
Almost surely, 2223896240 is an apocalyptic number.
223896240 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 223896240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388959480).
223896240 is an abundant number, since it is smaller than the sum of its proper divisors (554022720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223896240 is a wasteful number, since it uses less digits than its factorization.
223896240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 10771 (or 10762 counting only the distinct ones).
The product of its (nonzero) digits is 41472, while the sum is 36.
The square root of 223896240 is about 14963.1627672762. The cubic root of 223896240 is about 607.2240071330.
The spelling of 223896240 in words is "two hundred twenty-three million, eight hundred ninety-six thousand, two hundred forty".
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