Search a number
-
+
223085509 = 1725751061
BaseRepresentation
bin11010100110000…
…00001111000101
3120112202220210021
431103000033011
5424102214014
634045255141
75346124033
oct1523001705
9515686707
10223085509
11104a20499
12628644b1
13372aac7a
14218b1553
15148b9624
hexd4c03c5

223085509 has 8 divisors (see below), whose sum is σ = 237131928. Its totient is φ = 209141760.

The previous prime is 223085503. The next prime is 223085521. The reversal of 223085509 is 905580322.

It can be written as a sum of positive squares in 4 ways, for example, as 58476609 + 164608900 = 7647^2 + 12830^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 223085509 - 219 = 222561221 is a prime.

It is a super-3 number, since 3×2230855093 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223085503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21162 + ... + 29899.

It is an arithmetic number, because the mean of its divisors is an integer number (29641491).

Almost surely, 2223085509 is an apocalyptic number.

It is an amenable number.

223085509 is a deficient number, since it is larger than the sum of its proper divisors (14046419).

223085509 is a wasteful number, since it uses less digits than its factorization.

223085509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51335.

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 223085509 is about 14936.0473017462. The cubic root of 223085509 is about 606.4901988785.

The spelling of 223085509 in words is "two hundred twenty-three million, eighty-five thousand, five hundred nine".

Divisors: 1 17 257 4369 51061 868037 13122677 223085509