Base | Representation |
---|---|
bin | 11010101000010… |
… | …00110110000100 |
3 | 120120100000202100 |
4 | 31110020312010 |
5 | 424141223131 |
6 | 34055512100 |
7 | 5351503101 |
oct | 1524106604 |
9 | 516300670 |
10 | 223382916 |
11 | 105103989 |
12 | 62988630 |
13 | 37383453 |
14 | 2194baa8 |
15 | 149277e6 |
hex | d508d84 |
223382916 has 81 divisors (see below), whose sum is σ = 588022981. Its totient is φ = 71501664.
The previous prime is 223382899. The next prime is 223382927. The reversal of 223382916 is 619283322.
The square root of 223382916 is 14946.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 161036100 + 62346816 = 12690^2 + 7896^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 4214746 + ... + 4214798.
Almost surely, 2223382916 is an apocalyptic number.
223382916 is the 14946-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223382916
223382916 is an abundant number, since it is smaller than the sum of its proper divisors (364640065).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223382916 is a wasteful number, since it uses less digits than its factorization.
223382916 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 210 (or 105 counting only the distinct ones).
The product of its digits is 31104, while the sum is 36.
The cubic root of 223382916 is about 606.7595938370.
Multiplying 223382916 by its sum of digits (36), we get a square (8041784976 = 896762).
223382916 divided by its sum of digits (36) gives a square (6205081 = 24912).
The spelling of 223382916 in words is "two hundred twenty-three million, three hundred eighty-two thousand, nine hundred sixteen".
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