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223133131 = 13192234051
BaseRepresentation
bin11010100110010…
…11110111001011
3120112212100010001
431103023313023
5424110230011
634050303431
75346412624
oct1523136713
9515770101
10223133131
11104a53251
1262887b77
13372c6850
14218c4a4b
15148c87c1
hexd4cbdcb

223133131 has 16 divisors (see below), whose sum is σ = 254141440. Its totient is φ = 194205600.

The previous prime is 223133117. The next prime is 223133147. The reversal of 223133131 is 131331322.

It is a cyclic number.

It is not a de Polignac number, because 223133131 - 213 = 223124939 is a prime.

It is a super-3 number, since 3×2231331313 (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 223133099 and 223133108.

It is not an unprimeable number, because it can be changed into a prime (223133101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53056 + ... + 57106.

It is an arithmetic number, because the mean of its divisors is an integer number (15883840).

Almost surely, 2223133131 is an apocalyptic number.

223133131 is a deficient number, since it is larger than the sum of its proper divisors (31008309).

223133131 is a wasteful number, since it uses less digits than its factorization.

223133131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4306.

The product of its digits is 324, while the sum is 19.

The square root of 223133131 is about 14937.6414135566. The cubic root of 223133131 is about 606.5333515713.

Adding to 223133131 its reverse (131331322), we get a palindrome (354464453).

The spelling of 223133131 in words is "two hundred twenty-three million, one hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 13 19 223 247 2899 4051 4237 52663 55081 76969 903373 1000597 11743849 17164087 223133131