Base | Representation |
---|---|
bin | 11010100111001… |
… | …10101011010000 |
3 | 120120001220202210 |
4 | 31103212223100 |
5 | 424122233320 |
6 | 34052512120 |
7 | 5350351053 |
oct | 1523465320 |
9 | 516056683 |
10 | 223242960 |
11 | 105018816 |
12 | 6291b640 |
13 | 37334835 |
14 | 21912a9a |
15 | 148eb0e0 |
hex | d4e6ad0 |
223242960 has 40 divisors (see below), whose sum is σ = 692053920. Its totient is φ = 59531392.
The previous prime is 223242959. The next prime is 223242967. The reversal of 223242960 is 69242322.
223242960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (40).
It is a super-3 number, since 3×2232429603 (a number of 26 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223242967) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 464850 + ... + 465329.
It is an arithmetic number, because the mean of its divisors is an integer number (17301348).
Almost surely, 2223242960 is an apocalyptic number.
223242960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.
It is an amenable number.
223242960 is an abundant number, since it is smaller than the sum of its proper divisors (468810960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223242960 is a wasteful number, since it uses less digits than its factorization.
223242960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 930195 (or 930189 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 30.
The square root of 223242960 is about 14941.3172110092. The cubic root of 223242960 is about 606.6328497567.
The spelling of 223242960 in words is "two hundred twenty-three million, two hundred forty-two thousand, nine hundred sixty".
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