Base | Representation |
---|---|
bin | 10000000110110… |
… | …100011100011000 |
3 | 200211110202110000 |
4 | 100012310130120 |
5 | 1023134120003 |
6 | 42451453000 |
7 | 6460600350 |
oct | 2006643430 |
9 | 624422400 |
10 | 270223128 |
11 | 1295966aa |
12 | 765b7160 |
13 | 43ca3556 |
14 | 27c61b60 |
15 | 18acb1a3 |
hex | 101b4718 |
270223128 has 160 divisors (see below), whose sum is σ = 886707360. Its totient is φ = 75271680.
The previous prime is 270223103. The next prime is 270223133. The reversal of 270223128 is 821322072.
It is a happy number.
270223128 is a nontrivial binomial coefficient, being equal to C(23248, 2).
It is a super-2 number, since 2×2702231282 = 146041077812208768, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 185250 + ... + 186702.
It is an arithmetic number, because the mean of its divisors is an integer number (5541921).
Almost surely, 2270223128 is an apocalyptic number.
270223128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.
270223128 is the 23247-th triangular number and also the 11624-th hexagonal number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 270223128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443353680).
270223128 is an abundant number, since it is smaller than the sum of its proper divisors (616484232).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
270223128 is a wasteful number, since it uses less digits than its factorization.
270223128 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1519 (or 1506 counting only the distinct ones).
The product of its (nonzero) digits is 2688, while the sum is 27.
The square root of 270223128 is about 16438.4648918322. The cubic root of 270223128 is about 646.5084004701.
The spelling of 270223128 in words is "two hundred seventy million, two hundred twenty-three thousand, one hundred twenty-eight".
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