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3682669225 = 525322292
BaseRepresentation
bin1101101110000001…
…0001001010101001
3100111122120222110111
43123200101022221
530020230403400
61405232214321
7160155112654
oct33340211251
910448528414
103682669225
11161a852994
1286939a3a1
13468c66421
1426d14c89b
151684913ba
hexdb8112a9

3682669225 has 27 divisors (see below), whose sum is σ = 4674709263. Its totient is φ = 2877925440.

The previous prime is 3682669157. The next prime is 3682669229. The reversal of 3682669225 is 5229662863.

The square root of 3682669225 is 60685.

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

It can be written as a sum of positive squares in 13 ways, for example, as 115713049 + 3566956176 = 10757^2 + 59724^2 .

It is not a de Polignac number, because 3682669225 - 213 = 3682661033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3682669229) 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, 16081411 + ... + 16081639.

Almost surely, 23682669225 is an apocalyptic number.

3682669225 is the 60685-th square number.

3682669225 is the 30343-rd centered octagonal number.

It is an amenable number.

3682669225 is a deficient number, since it is larger than the sum of its proper divisors (992040038).

3682669225 is an frugal number, since it uses more digits than its factorization.

3682669225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 287 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 49.

The cubic root of 3682669225 is about 1544.2617133623.

Multiplying 3682669225 by its sum of digits (49), we get a square (180450792025 = 4247952).

The spelling of 3682669225 in words is "three billion, six hundred eighty-two million, six hundred sixty-nine thousand, two hundred twenty-five".

Divisors: 1 5 25 53 229 265 1145 1325 2809 5725 12137 14045 52441 60685 70225 262205 303425 643261 1311025 2779373 3216305 13896865 16081525 69484325 147306769 736533845 3682669225