Search a number
-
+
223106131 = 1259177209
BaseRepresentation
bin11010100110001…
…01010001010011
3120112210222002001
431103011101103
5424103344011
634045534431
75346241123
oct1523052123
9515728061
10223106131
11104a34a36
1262874417
13372b7481
14218b8c83
15148c07c1
hexd4c5453

223106131 has 4 divisors (see below), whose sum is σ = 223284600. Its totient is φ = 222927664.

The previous prime is 223106123. The next prime is 223106171. The reversal of 223106131 is 131601322.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 131601322 = 265800661.

It is a cyclic number.

It is not a de Polignac number, because 223106131 - 23 = 223106123 is a prime.

It is a super-3 number, since 3×2231061313 (a number of 26 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 = 223106099 and 223106108.

It is not an unprimeable number, because it can be changed into a prime (223106171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87346 + ... + 89863.

It is an arithmetic number, because the mean of its divisors is an integer number (55821150).

Almost surely, 2223106131 is an apocalyptic number.

223106131 is a deficient number, since it is larger than the sum of its proper divisors (178469).

223106131 is a wasteful number, since it uses less digits than its factorization.

223106131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178468.

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 223106131 is about 14936.7376290809. The cubic root of 223106131 is about 606.5088862652.

Adding to 223106131 its reverse (131601322), we get a palindrome (354707453).

It can be divided in two parts, 22310 and 6131, that added together give a triangular number (28441 = T238).

The spelling of 223106131 in words is "two hundred twenty-three million, one hundred six thousand, one hundred thirty-one".

Divisors: 1 1259 177209 223106131