Base | Representation |
---|---|
bin | 11010101011110… |
… | …00000010010000 |
3 | 120121012011111100 |
4 | 31111320002100 |
5 | 424300311402 |
6 | 34113344400 |
7 | 5355410643 |
oct | 1525700220 |
9 | 517164440 |
10 | 223838352 |
11 | 105395081 |
12 | 62b68100 |
13 | 374b283a |
14 | 21a29a5a |
15 | 149b771c |
hex | d578090 |
223838352 has 120 divisors (see below), whose sum is σ = 662957568. Its totient is φ = 70387200.
The previous prime is 223838347. The next prime is 223838353. The reversal of 223838352 is 253838322.
It is a happy number.
223838352 is a `hidden beast` number, since 223 + 8 + 383 + 52 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (223838353) by changing a digit.
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, 182413 + ... + 183635.
Almost surely, 2223838352 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 223838352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331478784).
223838352 is an abundant number, since it is smaller than the sum of its proper divisors (439119216).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223838352 is a wasteful number, since it uses less digits than its factorization.
223838352 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1309 (or 1300 counting only the distinct ones).
The product of its digits is 69120, while the sum is 36.
The square root of 223838352 is about 14961.2282918215. The cubic root of 223838352 is about 607.1716703703.
The spelling of 223838352 in words is "two hundred twenty-three million, eight hundred thirty-eight thousand, three hundred fifty-two".
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