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2160855225 = 345210332
BaseRepresentation
bin1000000011001100…
…0000100010111001
312120121000211010000
42000303000202321
513411134331400
6554230343213
7104355652314
oct20063004271
95517024100
102160855225
11a09823571
125037bab09
132858a7179
14166dab97b
15c9a88600
hex80cc08b9

2160855225 has 45 divisors (see below), whose sum is σ = 4006529373. Its totient is φ = 1151340480.

The previous prime is 2160855223. The next prime is 2160855247. The reversal of 2160855225 is 5225580612.

It is a happy number.

The square root of 2160855225 is 46485.

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

2160855225 is a `hidden beast` number, since 21 + 60 + 8 + 552 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 419963049 + 1740892176 = 20493^2 + 41724^2 .

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

It is not a de Polignac number, because 2160855225 - 21 = 2160855223 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2160855225.

It is not an unprimeable number, because it can be changed into a prime (2160855223) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 2091309 + ... + 2092341.

Almost surely, 22160855225 is an apocalyptic number.

2160855225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2160855225 is the 46485-th square number.

2160855225 is the 23243-rd centered octagonal number.

It is an amenable number.

2160855225 is a deficient number, since it is larger than the sum of its proper divisors (1845674148).

2160855225 is an frugal number, since it uses more digits than its factorization.

2160855225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The cubic root of 2160855225 is about 1292.8313958049.

Multiplying 2160855225 by its sum of digits (36), we get a square (77790788100 = 2789102).

The spelling of 2160855225 in words is "two billion, one hundred sixty million, eight hundred fifty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1033 2025 3099 5165 9297 15495 25825 27891 46485 77475 83673 139455 232425 418365 697275 1067089 2091825 3201267 5335445 9603801 16006335 26677225 28811403 48019005 80031675 86434209 144057015 240095025 432171045 720285075 2160855225