Search a number
-
+
223131330 = 23252479237
BaseRepresentation
bin11010100110010…
…11011011000010
3120112212020122100
431103023123002
5424110200310
634050251230
75346404442
oct1523133302
9515766570
10223131330
11104a51964
1262886b16
13372c5a96
14218c4122
15148c7ec0
hexd4cb6c2

223131330 has 24 divisors (see below), whose sum is σ = 580141692. Its totient is φ = 59501664.

The previous prime is 223131329. The next prime is 223131361. The reversal of 223131330 is 33131322.

223131330 is a `hidden beast` number, since 22 + 313 + 1 + 330 = 666.

223131330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 215296929 + 7834401 = 14673^2 + 2799^2 .

It is a super-3 number, since 3×2231313303 (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1239529 + ... + 1239708.

Almost surely, 2223131330 is an apocalyptic number.

223131330 is an abundant number, since it is smaller than the sum of its proper divisors (357010362).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

223131330 is a wasteful number, since it uses less digits than its factorization.

223131330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2479250 (or 2479247 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 223131330 is about 14937.5811294868. The cubic root of 223131330 is about 606.5317197062.

Adding to 223131330 its reverse (33131322), we get a palindrome (256262652).

The spelling of 223131330 in words is "two hundred twenty-three million, one hundred thirty-one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2479237 4958474 7437711 12396185 14875422 22313133 24792370 37188555 44626266 74377110 111565665 223131330