Base | Representation |
---|---|
bin | 11010101010000… |
… | …11011110100000 |
3 | 120120210020012000 |
4 | 31111003132200 |
5 | 424221414242 |
6 | 34105004000 |
7 | 5353523211 |
oct | 1525033640 |
9 | 516706160 |
10 | 223623072 |
11 | 105258362 |
12 | 62a83600 |
13 | 3743885a |
14 | 219b1408 |
15 | 14973a4c |
hex | d5437a0 |
223623072 has 96 divisors (see below), whose sum is σ = 663082560. Its totient is φ = 73301760.
The previous prime is 223623067. The next prime is 223623073. The reversal of 223623072 is 270326322.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (223623073) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50583 + ... + 54825.
It is an arithmetic number, because the mean of its divisors is an integer number (6907110).
Almost surely, 2223623072 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 223623072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331541280).
223623072 is an abundant number, since it is smaller than the sum of its proper divisors (439459488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223623072 is a wasteful number, since it uses less digits than its factorization.
223623072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4323 (or 4309 counting only the distinct ones).
The product of its (nonzero) digits is 6048, while the sum is 27.
The square root of 223623072 is about 14954.0319646576. The cubic root of 223623072 is about 606.9769556827.
Adding to 223623072 its reverse (270326322), we get a palindrome (493949394).
The spelling of 223623072 in words is "two hundred twenty-three million, six hundred twenty-three thousand, seventy-two".
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