Base | Representation |
---|---|
bin | 11010101011010… |
… | …00010100110010 |
3 | 120121001220020000 |
4 | 31111220110302 |
5 | 424241232002 |
6 | 34112130430 |
7 | 5355022224 |
oct | 1525502462 |
9 | 517056200 |
10 | 223774002 |
11 | 1053507a1 |
12 | 62b36a16 |
13 | 3748c46a |
14 | 21a10414 |
15 | 149a361c |
hex | d568532 |
223774002 has 60 divisors (see below), whose sum is σ = 515848410. Its totient is φ = 72503424.
The previous prime is 223773983. The next prime is 223774051. The reversal of 223774002 is 200477322.
It can be written as a sum of positive squares in 3 ways, for example, as 223472601 + 301401 = 14949^2 + 549^2 .
It is a Harshad number since it is a multiple of its sum of digits (27).
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 29 ways as a sum of consecutive naturals, for example, 221274 + ... + 222282.
Almost surely, 2223774002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 223774002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257924205).
223774002 is an abundant number, since it is smaller than the sum of its proper divisors (292074408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
223774002 is a wasteful number, since it uses less digits than its factorization.
223774002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1097 (or 1051 counting only the distinct ones).
The product of its (nonzero) digits is 4704, while the sum is 27.
The square root of 223774002 is about 14959.0775785140. The cubic root of 223774002 is about 607.1134806970.
The spelling of 223774002 in words is "two hundred twenty-three million, seven hundred seventy-four thousand, two".
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