Base | Representation |
---|---|
bin | 11010100110000… |
… | …01000100101100 |
3 | 120112210002111100 |
4 | 31103001010230 |
5 | 424102321230 |
6 | 34045323100 |
7 | 5346140034 |
oct | 1523010454 |
9 | 515702440 |
10 | 223088940 |
11 | 104a23028 |
12 | 62866490 |
13 | 372ac6b9 |
14 | 218b28c4 |
15 | 148ba660 |
hex | d4c112c |
223088940 has 72 divisors (see below), whose sum is σ = 678813408. Its totient is φ = 59304960.
The previous prime is 223088933. The next prime is 223089001. The reversal of 223088940 is 49880322.
It is a super-3 number, since 3×2230889403 (a number of 26 digits) contains 333 as substring.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
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 = 223088895 and 223088904.
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 23 ways as a sum of consecutive naturals, for example, 61785 + ... + 65295.
It is an arithmetic number, because the mean of its divisors is an integer number (9427964).
Almost surely, 2223088940 is an apocalyptic number.
223088940 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 223088940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339406704).
223088940 is an abundant number, since it is smaller than the sum of its proper divisors (455724468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223088940 is a wasteful number, since it uses less digits than its factorization.
223088940 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3879 (or 3874 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 223088940 is about 14936.1621576629. The cubic root of 223088940 is about 606.4933080857.
The spelling of 223088940 in words is "two hundred twenty-three million, eighty-eight thousand, nine hundred forty".
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