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8820027225 = 345220872
BaseRepresentation
bin10000011011011011…
…01110111101011001
3211202200102210210000
420031231232331121
5121030411332400
64015111443213
7431365665042
oct101555567531
924680383700
108820027225
113816747aa9
121861986509
13aa73b8929
145d95678c9
153694cb600
hex20db6ef59

8820027225 has 45 divisors (see below), whose sum is σ = 16345571407. Its totient is φ = 4701760560.

The previous prime is 8820027211. The next prime is 8820027241. The reversal of 8820027225 is 5227200288.

The square root of 8820027225 is 93915.

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

It can be written as a sum of positive squares in only one way, i.e., 3175209801 + 5644817424 = 56349^2 + 75132^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 8820027225 - 215 = 8819994457 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8820027225.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4225132 + ... + 4227218.

Almost surely, 28820027225 is an apocalyptic number.

8820027225 is the 93915-th square number.

8820027225 is the 46958-th centered octagonal number.

It is an amenable number.

8820027225 is a deficient number, since it is larger than the sum of its proper divisors (7525544182).

8820027225 is an frugal number, since it uses more digits than its factorization.

8820027225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The cubic root of 8820027225 is about 2066.1252341488.

Multiplying 8820027225 by its sum of digits (36), we get a square (317520980100 = 5634902).

The spelling of 8820027225 in words is "eight billion, eight hundred twenty million, twenty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 2087 6261 10435 18783 31305 52175 56349 93915 156525 169047 281745 469575 845235 1408725 4226175 4355569 13066707 21777845 39200121 65333535 108889225 117600363 196000605 326667675 352801089 588001815 980003025 1764005445 2940009075 8820027225