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223200131 = 71125711279
BaseRepresentation
bin11010100110111…
…00001110000011
3120112222202000112
431103130032003
5424114401011
634051541535
75350112150
oct1523341603
9515882015
10223200131
11104a99620
12628ba8ab
133731b1ab
1421901227
15148dd58b
hexd4dc383

223200131 has 16 divisors (see below), whose sum is σ = 279383040. Its totient is φ = 173230080.

The previous prime is 223200121. The next prime is 223200137. The reversal of 223200131 is 131002322.

It is a happy number.

223200131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 223200131 - 26 = 223200067 is a prime.

It is a super-3 number, since 3×2232001313 (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 not an unprimeable number, because it can be changed into a prime (223200137) 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, 14150 + ... + 25428.

It is an arithmetic number, because the mean of its divisors is an integer number (17461440).

Almost surely, 2223200131 is an apocalyptic number.

223200131 is a deficient number, since it is larger than the sum of its proper divisors (56182909).

223200131 is a wasteful number, since it uses less digits than its factorization.

223200131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11554.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 223200131 is about 14939.8839018247. The cubic root of 223200131 is about 606.5940532514.

Adding to 223200131 its reverse (131002322), we get a palindrome (354202453).

The spelling of 223200131 in words is "two hundred twenty-three million, two hundred thousand, one hundred thirty-one".

Divisors: 1 7 11 77 257 1799 2827 11279 19789 78953 124069 868483 2898703 20290921 31885733 223200131