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232322002020 = 223252803460463
BaseRepresentation
bin1101100001011101111…
…0000110110001100100
3211012122220211111211100
43120113132012301210
512301243413031040
6254421030440100
722533104302023
oct3302736066144
9735586744740
10232322002020
118a588793769
1239038203030
1318ba5790b64
14b35ca848ba
15609ad68b30
hex3617786c64

232322002020 has 72 divisors (see below), whose sum is σ = 704963016576. Its totient is φ = 61930297152.

The previous prime is 232322002019. The next prime is 232322002021. The reversal of 232322002020 is 20200223232.

232322002020 is a `hidden beast` number, since 232 + 32 + 200 + 202 + 0 = 666.

232322002020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232322002019) and next prime (232322002021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 232322001984 and 232322002002.

It is not an unprimeable number, because it can be changed into a prime (232322002021) 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, 274309 + ... + 734771.

It is an arithmetic number, because the mean of its divisors is an integer number (9791153008).

Almost surely, 2232322002020 is an apocalyptic number.

232322002020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232322002020 is an abundant number, since it is smaller than the sum of its proper divisors (472641014556).

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

232322002020 is a wasteful number, since it uses less digits than its factorization.

232322002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463281 (or 463276 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

Adding to 232322002020 its reverse (20200223232), we get a palindrome (252522225252).

The spelling of 232322002020 in words is "two hundred thirty-two billion, three hundred twenty-two million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 2803 5606 8409 11212 14015 16818 25227 28030 33636 42045 50454 56060 84090 100908 126135 168180 252270 460463 504540 920926 1381389 1841852 2302315 2762778 4144167 4604630 5525556 6906945 8288334 9209260 13813890 16576668 20720835 27627780 41441670 82883340 1290677789 2581355578 3872033367 5162711156 6453388945 7744066734 11616100101 12906777890 15488133468 19360166835 23232200202 25813555780 38720333670 46464400404 58080500505 77440667340 116161001010 232322002020