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2320340224 = 2841221069
BaseRepresentation
bin1000101001001101…
…1001010100000000
312222201010111101211
42022103121110000
514223001341344
61022124535504
7111333365206
oct21223312400
95881114354
102320340224
11a90853a54
125490b1594
132ac9473a7
14180245076
15d8a8d334
hex8a4d9500

2320340224 has 36 divisors (see below), whose sum is σ = 4744604340. Its totient is φ = 1131868160.

The previous prime is 2320340219. The next prime is 2320340291. The reversal of 2320340224 is 4220430232.

It can be written as a sum of positive squares in 2 ways, for example, as 1351885824 + 968454400 = 36768^2 + 31120^2 .

It is a super-2 number, since 2×23203402242 = 10767957510224740352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2320340195 and 2320340204.

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 3 ways as a sum of consecutive naturals, for example, 100039 + ... + 121030.

It is an arithmetic number, because the mean of its divisors is an integer number (131794565).

Almost surely, 22320340224 is an apocalyptic number.

It is an amenable number.

2320340224 is an abundant number, since it is smaller than the sum of its proper divisors (2424264116).

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

2320340224 is an equidigital number, since it uses as much as digits as its factorization.

2320340224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221126 (or 221112 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2320340224 is about 48169.9099438643. The cubic root of 2320340224 is about 1323.8858984739.

Adding to 2320340224 its reverse (4220430232), we get a palindrome (6540770456).

The spelling of 2320340224 in words is "two billion, three hundred twenty million, three hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 656 1312 2624 5248 10496 221069 442138 884276 1768552 3537104 7074208 9063829 14148416 18127658 28296832 36255316 56593664 72510632 145021264 290042528 580085056 1160170112 2320340224