Search a number
-
+
2322132230020 = 2255211163319157
BaseRepresentation
bin100001110010101001110…
…111011101111110000100
322012222211101110122200011
4201302221313131332010
5301021211322330040
64534434532400004
7326524413165361
oct41625167357604
98188741418604
102322132230020
118158a1119079
12316065476004
1313ac8c731775
148056b153468
154060d6d93ea
hex21ca9dddf84

2322132230020 has 48 divisors (see below), whose sum is σ = 4886512586928. Its totient is φ = 926941982720.

The previous prime is 2322132230003. The next prime is 2322132230059. The reversal of 2322132230020 is 200322312232.

It can be written as a sum of positive squares in 8 ways, for example, as 344446914816 + 1977685315204 = 586896^2 + 1406302^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2322132229973 and 2322132230000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121206282 + ... + 121225438.

It is an arithmetic number, because the mean of its divisors is an integer number (101802345561).

Almost surely, 22322132230020 is an apocalyptic number.

2322132230020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2322132230020 is an abundant number, since it is smaller than the sum of its proper divisors (2564380356908).

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

2322132230020 is a wasteful number, since it uses less digits than its factorization.

2322132230020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31320 (or 31318 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2322132230020 its reverse (200322312232), we get a palindrome (2522454542252).

The spelling of 2322132230020 in words is "two trillion, three hundred twenty-two billion, one hundred thirty-two million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 20 521 1042 2084 2605 5210 10420 11633 19157 23266 38314 46532 58165 76628 95785 116330 191570 232660 383140 6060793 9980797 12121586 19961594 24243172 30303965 39923188 49903985 60607930 99807970 121215860 199615940 222853381 445706762 891413524 1114266905 2228533810 4457067620 116106611501 232213223002 464426446004 580533057505 1161066115010 2322132230020