Search a number
-
+
2230602400 = 255213214481
BaseRepresentation
bin1000010011110100…
…0100101010100000
312202110021100020201
42010331010222200
514032013234100
61005201314544
7106163543665
oct20475045240
95673240221
102230602400
11a45131664
12523035a54
132971878a0
14172365a6c
15d0c6436a
hex84f44aa0

2230602400 has 72 divisors (see below), whose sum is σ = 5864366844. Its totient is φ = 823603200.

The previous prime is 2230602383. The next prime is 2230602401. The reversal of 2230602400 is 42060322.

It can be written as a sum of positive squares in 6 ways, for example, as 391564944 + 1839037456 = 19788^2 + 42884^2 .

It is not an unprimeable number, because it can be changed into a prime (2230602401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96841 + ... + 117640.

Almost surely, 22230602400 is an apocalyptic number.

2230602400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2230602400 is an abundant number, since it is smaller than the sum of its proper divisors (3633764444).

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

2230602400 is a wasteful number, since it uses less digits than its factorization.

2230602400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214514 (or 214501 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 2230602400 is about 47229.2536464425. The cubic root of 2230602400 is about 1306.5941870575.

Adding to 2230602400 its reverse (42060322), we get a palindrome (2272662722).

The spelling of 2230602400 in words is "two billion, two hundred thirty million, six hundred two thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 160 200 208 260 325 400 416 520 650 800 1040 1300 2080 2600 5200 10400 214481 428962 857924 1072405 1715848 2144810 2788253 3431696 4289620 5362025 5576506 6863392 8579240 10724050 11153012 13941265 17158480 21448100 22306024 27882530 34316960 42896200 44612048 55765060 69706325 85792400 89224096 111530120 139412650 171584800 223060240 278825300 446120480 557650600 1115301200 2230602400