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3610207225 = 526121972
BaseRepresentation
bin1101011100101111…
…0110001111111001
3100022121020112021201
43113023312033321
524343203112400
61354123134201
7155315153332
oct32713661771
910277215251
103610207225
111592960139
12849074361
13456c450c1
14263689289
15161e2b06a
hexd72f63f9

3610207225 has 27 divisors (see below), whose sum is σ = 4574467911. Its totient is φ = 2826398400.

The previous prime is 3610207217. The next prime is 3610207231. The reversal of 3610207225 is 5227020163.

The square root of 3610207225 is 60085.

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

3610207225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 2175009769 + 1435197456 = 46637^2 + 37884^2 .

It is not a de Polignac number, because 3610207225 - 23 = 3610207217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 3610207193 and 3610207202.

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, 18325827 + ... + 18326023.

Almost surely, 23610207225 is an apocalyptic number.

3610207225 is the 60085-th square number.

3610207225 is the 30043-rd centered octagonal number.

It is an amenable number.

3610207225 is a deficient number, since it is larger than the sum of its proper divisors (964260686).

3610207225 is an frugal number, since it uses more digits than its factorization.

3610207225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The cubic root of 3610207225 is about 1534.0659966099.

Adding to 3610207225 its reverse (5227020163), we get a palindrome (8837227388).

The spelling of 3610207225 in words is "three billion, six hundred ten million, two hundred seven thousand, two hundred twenty-five".

Divisors: 1 5 25 61 197 305 985 1525 3721 4925 12017 18605 38809 60085 93025 194045 300425 733037 970225 2367349 3665185 11836745 18325925 59183725 144408289 722041445 3610207225