Base | Representation |
---|---|
bin | 11010100101111… |
… | …01000100010000 |
3 | 120112202020222111 |
4 | 31102331010100 |
5 | 424101310103 |
6 | 34045115104 |
7 | 5346041140 |
oct | 1522750420 |
9 | 515666874 |
10 | 223072528 |
11 | 104a11768 |
12 | 62858a94 |
13 | 372a50a3 |
14 | 218aa920 |
15 | 148b586d |
hex | d4bd110 |
223072528 has 80 divisors (see below), whose sum is σ = 521109504. Its totient is φ = 90483840.
The previous prime is 223072523. The next prime is 223072541. The reversal of 223072528 is 825270322.
It is a super-3 number, since 3×2230725283 (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 (31).
It is a self number, because there is not a number n which added to its sum of digits gives 223072528.
It is not an unprimeable number, because it can be changed into a prime (223072523) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162501 + ... + 163867.
Almost surely, 2223072528 is an apocalyptic number.
223072528 is a gapful number since it is divisible by the number (28) 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 223072528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260554752).
223072528 is an abundant number, since it is smaller than the sum of its proper divisors (298036976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223072528 is a wasteful number, since it uses less digits than its factorization.
223072528 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1460 (or 1454 counting only the distinct ones).
The product of its (nonzero) digits is 13440, while the sum is 31.
The square root of 223072528 is about 14935.6127427033. The cubic root of 223072528 is about 606.4784350754.
The spelling of 223072528 in words is "two hundred twenty-three million, seventy-two thousand, five hundred twenty-eight".
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