Base | Representation |
---|---|
bin | 11010101001100… |
… | …00100010100000 |
3 | 120120122021210010 |
4 | 31110300202200 |
5 | 424211424004 |
6 | 34103204520 |
7 | 5353051110 |
oct | 1524604240 |
9 | 516567703 |
10 | 223545504 |
11 | 105205056 |
12 | 62a46740 |
13 | 3740c460 |
14 | 21991040 |
15 | 1495aa89 |
hex | d5308a0 |
223545504 has 96 divisors (see below), whose sum is σ = 722252160. Its totient is φ = 58954752.
The previous prime is 223545493. The next prime is 223545587. The reversal of 223545504 is 405545322.
223545504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×2235455042 = 99945184717228032, which contains 22 as substring.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4059 + ... + 21530.
It is an arithmetic number, because the mean of its divisors is an integer number (7523460).
Almost surely, 2223545504 is an apocalyptic number.
223545504 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 223545504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361126080).
223545504 is an abundant number, since it is smaller than the sum of its proper divisors (498706656).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223545504 is a wasteful number, since it uses less digits than its factorization.
223545504 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 25622 (or 25614 counting only the distinct ones).
The product of its (nonzero) digits is 24000, while the sum is 30.
The square root of 223545504 is about 14951.4381916925. The cubic root of 223545504 is about 606.9067669899.
The spelling of 223545504 in words is "two hundred twenty-three million, five hundred forty-five thousand, five hundred four".
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