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223141311 = 354122397
BaseRepresentation
bin11010100110011…
…01110110111111
3120112212202100000
431103031312333
5424111010221
634050405343
75346445521
oct1523156677
9515782300
10223141311
11104a59408
1262890853
13372ca4a3
14218c7a11
15148cae26
hexd4cddbf

223141311 has 24 divisors (see below), whose sum is σ = 342420624. Its totient is φ = 145126080.

The previous prime is 223141297. The next prime is 223141313. The reversal of 223141311 is 113141322.

It is a de Polignac number, because none of the positive numbers 2k-223141311 is a prime.

It is a super-3 number, since 3×2231413113 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223141313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1236 + ... + 21161.

It is an arithmetic number, because the mean of its divisors is an integer number (14267526).

Almost surely, 2223141311 is an apocalyptic number.

223141311 is a deficient number, since it is larger than the sum of its proper divisors (119279313).

223141311 is an equidigital number, since it uses as much as digits as its factorization.

223141311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22453 (or 22441 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 223141311 is about 14937.9152159865. The cubic root of 223141311 is about 606.5407632634.

Adding to 223141311 its reverse (113141322), we get a palindrome (336282633).

The spelling of 223141311 in words is "two hundred twenty-three million, one hundred forty-one thousand, three hundred eleven".

Divisors: 1 3 9 27 41 81 123 243 369 1107 3321 9963 22397 67191 201573 604719 918277 1814157 2754831 5442471 8264493 24793479 74380437 223141311