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2123332432 = 24134325521
BaseRepresentation
bin111111010001111…
…0111101101010000
312110222102110111221
41332203313231100
513322033114212
6550410214424
7103422012364
oct17643675520
95428373457
102123332432
1199a6250a1
124b3124414
1327ab9a030
141620012a4
15c6625807
hex7e8f7b50

2123332432 has 60 divisors (see below), whose sum is σ = 4536665364. Its totient is φ = 957035520.

The previous prime is 2123332427. The next prime is 2123332439. The reversal of 2123332432 is 2342333212.

It can be written as a sum of positive squares in 2 ways, for example, as 447576336 + 1675756096 = 21156^2 + 40936^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2123332397 and 2123332406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123332439) 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 11 ways as a sum of consecutive naturals, for example, 381832 + ... + 387352.

Almost surely, 22123332432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2123332432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268332682).

2123332432 is an abundant number, since it is smaller than the sum of its proper divisors (2413332932).

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

2123332432 is a wasteful number, since it uses less digits than its factorization.

2123332432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5628 (or 5579 counting only the distinct ones).

The product of its digits is 5184, while the sum is 25.

The square root of 2123332432 is about 46079.6314221370. The cubic root of 2123332432 is about 1285.3044103107.

Adding to 2123332432 its reverse (2342333212), we get a palindrome (4465665644).

The spelling of 2123332432 in words is "two billion, one hundred twenty-three million, three hundred thirty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 208 344 559 688 1118 1849 2236 3698 4472 5521 7396 8944 11042 14792 22084 24037 29584 44168 48074 71773 88336 96148 143546 192296 237403 287092 384592 474806 574184 949612 1148368 1899224 3086239 3798448 6172478 10208329 12344956 20416658 24689912 40833316 49379824 81666632 132708277 163333264 265416554 530833108 1061666216 2123332432