Base | Representation |
---|---|
bin | 11010101100101… |
… | …01000111001000 |
3 | 120121102012212022 |
4 | 31112111013020 |
5 | 424313114243 |
6 | 34120104012 |
7 | 5356415111 |
oct | 1526250710 |
9 | 517365768 |
10 | 223957448 |
11 | 105466600 |
12 | 63005008 |
13 | 37524b00 |
14 | 21a5b208 |
15 | 149dcb68 |
hex | d5951c8 |
223957448 has 108 divisors (see below), whose sum is σ = 513674595. Its totient is φ = 91428480.
The previous prime is 223957441. The next prime is 223957453. The reversal of 223957448 is 844759322.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It can be written as a sum of positive squares in 5 ways, for example, as 126382564 + 97574884 = 11242^2 + 9878^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=10582.
It is a Harshad number since it is a multiple of its sum of digits (44).
It is a Duffinian number.
Its product of digits (483840) is a multiple of the sum of its prime divisors (63).
It is a junction number, because it is equal to n+sod(n) for n = 223957399 and 223957408.
It is not an unprimeable number, because it can be changed into a prime (223957441) 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 26 ways as a sum of consecutive naturals, for example, 6052886 + ... + 6052922.
Almost surely, 2223957448 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 223957448
223957448 is an abundant number, since it is smaller than the sum of its proper divisors (289717147).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223957448 is a wasteful number, since it uses less digits than its factorization.
223957448 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 128 (or 63 counting only the distinct ones).
The product of its digits is 483840, while the sum is 44.
The square root of 223957448 is about 14965.2079170321. The cubic root of 223957448 is about 607.2793357094.
The spelling of 223957448 in words is "two hundred twenty-three million, nine hundred fifty-seven thousand, four hundred forty-eight".
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