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231133222000 = 2453161371647
BaseRepresentation
bin1101011101000010011…
…1010001010001110000
3211002121001221020012201
43113100213101101300
512241330101101000
6254103043032544
722461460654042
oct3272047212160
9732531836181
10231133222000
118a02875073a
123896606b754
1318a463c7625
14b288c35a92
15602b7e796a
hex35d09d1470

231133222000 has 80 divisors (see below), whose sum is σ = 559234420992. Its totient is φ = 92394681600.

The previous prime is 231133221989. The next prime is 231133222007. The reversal of 231133222000 is 222331132.

231133222000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231133222007) 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, 3190177 + ... + 3261823.

Almost surely, 2231133222000 is an apocalyptic number.

231133222000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231133222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279617210496).

231133222000 is an abundant number, since it is smaller than the sum of its proper divisors (328101198992).

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

231133222000 is a wasteful number, since it uses less digits than its factorization.

231133222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73283 (or 73267 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 231133222000 its reverse (222331132), we get a palindrome (231355553132).

It can be divided in two parts, 2311332 and 22000, that added together give a palindrome (2333332).

The spelling of 231133222000 in words is "two hundred thirty-one billion, one hundred thirty-three million, two hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 1613 2000 3226 6452 8065 12904 16130 25808 32260 40325 64520 71647 80650 129040 143294 161300 201625 286588 322600 358235 403250 573176 645200 716470 806500 1146352 1432940 1613000 1791175 2865880 3226000 3582350 5731760 7164700 8955875 14329400 17911750 28658800 35823500 71647000 115566611 143294000 231133222 462266444 577833055 924532888 1155666110 1849065776 2311332220 2889165275 4622664440 5778330550 9245328880 11556661100 14445826375 23113322200 28891652750 46226644400 57783305500 115566611000 231133222000