Base | Representation |
---|---|
bin | 11010100110101… |
… | …01001011000000 |
3 | 120112221021102101 |
4 | 31103111023000 |
5 | 424112440024 |
6 | 34051200144 |
7 | 5346632041 |
oct | 1523251300 |
9 | 515837371 |
10 | 223171264 |
11 | 104a79968 |
12 | 628a6054 |
13 | 3730b004 |
14 | 218d48c8 |
15 | 148d4c44 |
hex | d4d52c0 |
223171264 has 56 divisors (see below), whose sum is σ = 468823040. Its totient is φ = 105110784.
The previous prime is 223171237. The next prime is 223171279. The reversal of 223171264 is 462171322.
It is a super-3 number, since 3×2231712643 (a number of 26 digits) contains 333 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270757 + ... + 271579.
It is an arithmetic number, because the mean of its divisors is an integer number (8371840).
Almost surely, 2223171264 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223171264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234411520).
223171264 is an abundant number, since it is smaller than the sum of its proper divisors (245651776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223171264 is a wasteful number, since it uses less digits than its factorization.
223171264 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1077 (or 1067 counting only the distinct ones).
The product of its digits is 4032, while the sum is 28.
The square root of 223171264 is about 14938.9177653537. The cubic root of 223171264 is about 606.5679013768.
The spelling of 223171264 in words is "two hundred twenty-three million, one hundred seventy-one thousand, two hundred sixty-four".
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