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231341143224 = 23381114877993
BaseRepresentation
bin1101011101110100000…
…0011011010010111000
3211010010120011201111210
43113131000123102320
512242241313040344
6254135431323120
722466564162262
oct3273500332270
9733116151453
10231341143224
118a125053a64
1238a038204a0
1318a7a4c6239
14b2a86bab32
15603ebb8db9
hex35dd01b4b8

231341143224 has 64 divisors (see below), whose sum is σ = 579527907840. Its totient is φ = 76957205760.

The previous prime is 231341143223. The next prime is 231341143259. The reversal of 231341143224 is 422341143132.

231341143224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2313411432242 (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 231341143191 and 231341143200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231341143223) 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 15 ways as a sum of consecutive naturals, for example, 28938972 + ... + 28946964.

It is an arithmetic number, because the mean of its divisors is an integer number (9055123560).

Almost surely, 2231341143224 is an apocalyptic number.

231341143224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

231341143224 is an abundant number, since it is smaller than the sum of its proper divisors (348186764616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

231341143224 is a wasteful number, since it uses less digits than its factorization.

231341143224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10300 (or 10296 counting only the distinct ones).

The product of its digits is 13824, while the sum is 30.

Adding to 231341143224 its reverse (422341143132), we get a palindrome (653682286356).

The spelling of 231341143224 in words is "two hundred thirty-one billion, three hundred forty-one million, one hundred forty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 811 1487 1622 2433 2974 3244 4461 4866 5948 6488 7993 8922 9732 11896 15986 17844 19464 23979 31972 35688 47958 63944 95916 191832 1205957 2411914 3617871 4823828 6482323 7235742 9647656 11885591 12964646 14471484 19446969 23771182 25929292 28942968 35656773 38893938 47542364 51858584 71313546 77787876 95084728 142627092 155575752 285254184 9639214301 19278428602 28917642903 38556857204 57835285806 77113714408 115670571612 231341143224