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2308014216225 = 32521012812
BaseRepresentation
bin100001100101100000010…
…111100001010000100001
322011122101110221020121100
4201211200113201100201
5300303303114404400
64524142002345013
7325514513100324
oct41454027412041
98148343836540
102308014216225
1180a906945383
1231338535b169
1313984c842a53
147d9cc11a7bb
1540084044100
hex219605e1421

2308014216225 has 27 divisors (see below), whose sum is σ = 4133950723929. Its totient is φ = 1230928761600.

The previous prime is 2308014216223. The next prime is 2308014216257. The reversal of 2308014216225 is 5226124108032.

The square root of 2308014216225 is 1519215.

It is a perfect power (a square), and thus also a powerful number.

2308014216225 is a `hidden beast` number, since 2 + 3 + 0 + 8 + 0 + 1 + 4 + 21 + 622 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1163311087761 + 1144703128464 = 1078569^2 + 1069908^2 .

It is not a de Polignac number, because 2308014216225 - 21 = 2308014216223 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2308014216225.

It is not an unprimeable number, because it can be changed into a prime (2308014216223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 22737585 + ... + 22838865.

Almost surely, 22308014216225 is an apocalyptic number.

2308014216225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2308014216225 is the 1519215-th square number.

2308014216225 is the 759608-th centered octagonal number.

It is an amenable number.

2308014216225 is a deficient number, since it is larger than the sum of its proper divisors (1825936507704).

2308014216225 is an frugal number, since it uses more digits than its factorization.

2308014216225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202578 (or 101289 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Multiplying 2308014216225 by its sum of digits (36), we get a square (83088511784100 = 91152902).

The spelling of 2308014216225 in words is "two trillion, three hundred eight billion, fourteen million, two hundred sixteen thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 101281 303843 506405 911529 1519215 2532025 4557645 7596075 22788225 10257840961 30773522883 51289204805 92320568649 153867614415 256446024025 461602843245 769338072075 2308014216225