Search a number
-
+
223120079 = 72132397157
BaseRepresentation
bin11010100110010…
…00101011001111
3120112211200012122
431103020223033
5424104320304
634050123155
75346326600
oct1523105317
9515750178
10223120079
11104a44466
12628804bb
13372c0920
14218bdda7
15148c49be
hexd4c8acf

223120079 has 48 divisors (see below), whose sum is σ = 296549568. Its totient is φ = 166053888.

The previous prime is 223120067. The next prime is 223120081. The reversal of 223120079 is 970021322.

It is not a de Polignac number, because 223120079 - 212 = 223115983 is a prime.

It is a super-3 number, since 3×2231200793 (a number of 26 digits) contains 333 as substring.

223120079 is a modest number, since divided by 20079 gives 2231 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223120049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1421069 + ... + 1421225.

It is an arithmetic number, because the mean of its divisors is an integer number (6178116).

Almost surely, 2223120079 is an apocalyptic number.

223120079 is a deficient number, since it is larger than the sum of its proper divisors (73429489).

223120079 is a wasteful number, since it uses less digits than its factorization.

223120079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 26.

The square root of 223120079 is about 14937.2045242743. The cubic root of 223120079 is about 606.5215251075.

It can be divided in two parts, 2231 and 20079, that multiplied together give a square (44796249 = 66932).

The spelling of 223120079 in words is "two hundred twenty-three million, one hundred twenty thousand, seventy-nine".

Divisors: 1 7 13 23 49 91 97 157 161 299 637 679 1099 1127 1261 2041 2093 2231 3611 4753 7693 8827 14287 14651 15229 15617 25277 29003 46943 61789 100009 106603 109319 176939 197977 203021 328601 350267 746221 1385839 1421147 2300207 2451869 4553471 9700873 17163083 31874297 223120079