Base | Representation |
---|---|
bin | 11010101000111… |
… | …11001100100000 |
3 | 120120111200100000 |
4 | 31110133030200 |
5 | 424202140324 |
6 | 34101500000 |
7 | 5352334023 |
oct | 1524371440 |
9 | 516450300 |
10 | 223474464 |
11 | 105166744 |
12 | 62a11600 |
13 | 373b6015 |
14 | 219731ba |
15 | 149449c9 |
hex | d51f320 |
223474464 has 144 divisors (see below), whose sum is σ = 682456320. Its totient is φ = 71850240.
The previous prime is 223474453. The next prime is 223474513. The reversal of 223474464 is 464474322.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
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 23 ways as a sum of consecutive naturals, for example, 225009 + ... + 225999.
It is an arithmetic number, because the mean of its divisors is an integer number (4739280).
Almost surely, 2223474464 is an apocalyptic number.
223474464 is a gapful number since it is divisible by the number (24) 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 223474464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341228160).
223474464 is an abundant number, since it is smaller than the sum of its proper divisors (458981856).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223474464 is an equidigital number, since it uses as much as digits as its factorization.
223474464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1045 (or 1025 counting only the distinct ones).
The product of its digits is 129024, while the sum is 36.
The square root of 223474464 is about 14949.0623117305. The cubic root of 223474464 is about 606.8424710205.
The spelling of 223474464 in words is "two hundred twenty-three million, four hundred seventy-four thousand, four hundred sixty-four".
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