Search a number
-
+
223120324231 = 7671657287107
BaseRepresentation
bin1100111111001100000…
…0011111011010000111
3210022220122020211220021
43033303000133122013
512123422300333411
6250300002520011
722056062315050
oct3176300373207
9708818224807
10223120324231
1186696673a82
12372aa666007
131806a2b99bc
14ab28971727
155c0d100a71
hex33f301f687

223120324231 has 16 divisors (see below), whose sum is σ = 258957634816. Its totient is φ = 188277224256.

The previous prime is 223120324211. The next prime is 223120324237. The reversal of 223120324231 is 132423021322.

It is a cyclic number.

It is not a de Polignac number, because 223120324231 - 219 = 223119799943 is a prime.

It is a super-3 number, since 3×2231203242313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 223120324196 and 223120324205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223120324237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633580 + ... + 920686.

It is an arithmetic number, because the mean of its divisors is an integer number (16184852176).

Almost surely, 2223120324231 is an apocalyptic number.

223120324231 is a deficient number, since it is larger than the sum of its proper divisors (35837310585).

223120324231 is a wasteful number, since it uses less digits than its factorization.

223120324231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288838.

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 223120324231 its reverse (132423021322), we get a palindrome (355543345553).

The spelling of 223120324231 in words is "two hundred twenty-three billion, one hundred twenty million, three hundred twenty-four thousand, two hundred thirty-one".

Divisors: 1 7 67 469 1657 11599 111019 287107 777133 2009749 19236169 134653183 475736299 3330154093 31874332033 223120324231