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2320123232 = 257711131291
BaseRepresentation
bin1000101001001010…
…0100010101100000
312222200201110202002
42022102210111200
514222422420412
61022120143132
7111331502450
oct21222442540
95880643662
102320123232
11a90715a19
12549007aa8
132ac89c6ab
141801c9d60
15d8a48dc2
hex8a4a4560

2320123232 has 96 divisors (see below), whose sum is σ = 5344786944. Its totient is φ = 970905600.

The previous prime is 2320123219. The next prime is 2320123259. The reversal of 2320123232 is 2323210232.

It is a super-2 number, since 2×23201232322 = 10765943623332251648, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1796507 + ... + 1797797.

It is an arithmetic number, because the mean of its divisors is an integer number (55674864).

Almost surely, 22320123232 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 2320123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2672393472).

2320123232 is an abundant number, since it is smaller than the sum of its proper divisors (3024663712).

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

2320123232 is a wasteful number, since it uses less digits than its factorization.

2320123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 2320123232 is about 48167.6575307540. The cubic root of 2320123232 is about 1323.8446284335.

Adding to 2320123232 its reverse (2323210232), we get a palindrome (4643333464).

The spelling of 2320123232 in words is "two billion, three hundred twenty million, one hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 113 142 224 226 284 452 497 568 791 904 994 1136 1291 1582 1808 1988 2272 2582 3164 3616 3976 5164 6328 7952 8023 9037 10328 12656 15904 16046 18074 20656 25312 32092 36148 41312 56161 64184 72296 91661 112322 128368 144592 145883 183322 224644 256736 289184 291766 366644 449288 583532 641627 733288 898576 1021181 1167064 1283254 1466576 1797152 2042362 2334128 2566508 2933152 4084724 4668256 5133016 8169448 10266032 10357693 16338896 20532064 20715386 32677792 41430772 72503851 82861544 145007702 165723088 290015404 331446176 580030808 1160061616 2320123232