Search a number
-
+
2205325242 = 232294224761
BaseRepresentation
bin1000001101110010…
…1001011110111010
312200200201010111200
42003130221132322
514004030401432
61002455435030
7105435645441
oct20334513672
95620633450
102205325242
11a3193754a
12516685a76
13291b774a3
1416cc65d58
15cd91ea7c
hex837297ba

2205325242 has 24 divisors (see below), whose sum is σ = 4942971540. Its totient is φ = 709759680.

The previous prime is 2205325237. The next prime is 2205325247. The reversal of 2205325242 is 2425235022.

It is an interprime number because it is at equal distance from previous prime (2205325237) and next prime (2205325247).

It can be written as a sum of positive squares in 2 ways, for example, as 2183786361 + 21538881 = 46731^2 + 4641^2 .

It is not an unprimeable number, because it can be changed into a prime (2205325247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2111859 + ... + 2112902.

Almost surely, 22205325242 is an apocalyptic number.

2205325242 is an abundant number, since it is smaller than the sum of its proper divisors (2737646298).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2205325242 is a wasteful number, since it uses less digits than its factorization.

2205325242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4224798 (or 4224795 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 2205325242 is about 46960.8905579952. The cubic root of 2205325242 is about 1301.6399897987.

The spelling of 2205325242 in words is "two billion, two hundred five million, three hundred twenty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 4224761 8449522 12674283 25348566 38022849 76045698 122518069 245036138 367554207 735108414 1102662621 2205325242