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2117025 = 3252972
BaseRepresentation
bin1000000100110110100001
310222120000100
420010312201
51020221100
6113213013
723665041
oct10046641
93876010
102117025
111216609
12861169
135917a1
143d1721
152bc400
hex204da1

2117025 has 27 divisors (see below), whose sum is σ = 3831321. Its totient is φ = 1117440.

The previous prime is 2116997. The next prime is 2117039. The reversal of 2117025 is 5207112.

The square root of 2117025 is 1455.

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

It can be written as a sum of positive squares in 4 ways, for example, as 77841 + 2039184 = 279^2 + 1428^2 .

It is not a de Polignac number, because 2117025 - 211 = 2114977 is a prime.

2117025 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 2116989 and 2117007.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 21777 + ... + 21873.

22117025 is an apocalyptic number.

2117025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2117025 is the 1455-th square number.

2117025 is the 728-th centered octagonal number.

It is an amenable number.

2117025 is a deficient number, since it is larger than the sum of its proper divisors (1714296).

2117025 is an equidigital number, since it uses as much as digits as its factorization.

2117025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The cubic root of 2117025 is about 128.4030467731.

The spelling of 2117025 in words is "two million, one hundred seventeen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 97 225 291 485 873 1455 2425 4365 7275 9409 21825 28227 47045 84681 141135 235225 423405 705675 2117025