Search a number
-
+
223126304 = 257198207
BaseRepresentation
bin11010100110010…
…10001100100000
3120112211222202012
431103022030200
5424110020204
634050212052
75346354002
oct1523121440
9515758665
10223126304
11104a49105
1262884028
13372c36cb
14218c2372
15148c676e
hexd4ca320

223126304 has 24 divisors (see below), whose sum is σ = 445471488. Its totient is φ = 109990720.

The previous prime is 223126303. The next prime is 223126333. The reversal of 223126304 is 403621322.

It is a super-3 number, since 3×2231263043 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223126304.

It is not an unprimeable number, because it can be changed into a prime (223126301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 46832 + ... + 51375.

It is an arithmetic number, because the mean of its divisors is an integer number (18561312).

Almost surely, 2223126304 is an apocalyptic number.

It is an amenable number.

223126304 is a deficient number, since it is larger than the sum of its proper divisors (222345184).

223126304 is an equidigital number, since it uses as much as digits as its factorization.

223126304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98288 (or 98280 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 223126304 is about 14937.4128951435. The cubic root of 223126304 is about 606.5271656598.

Adding to 223126304 its reverse (403621322), we get a palindrome (626747626).

The spelling of 223126304 in words is "two hundred twenty-three million, one hundred twenty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 71 142 284 568 1136 2272 98207 196414 392828 785656 1571312 3142624 6972697 13945394 27890788 55781576 111563152 223126304