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2205838242 = 232122546569
BaseRepresentation
bin1000001101111010…
…0110101110100010
312200201200012012200
42003132212232202
514004143310432
61002514434030
7105443213166
oct20336465642
95621605180
102205838242
11a32157a13
12516892916
13291cc6b3a
1416cd5aca6
15cd9c1a7c
hex837a6ba2

2205838242 has 12 divisors (see below), whose sum is σ = 4779316230. Its totient is φ = 735279408.

The previous prime is 2205838241. The next prime is 2205838273. The reversal of 2205838242 is 2428385022.

2205838242 is a `hidden beast` number, since 220 + 58 + 382 + 4 + 2 = 666.

2205838242 is digitally balanced in base 2, 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 only one way, i.e., 2205147681 + 690561 = 46959^2 + 831^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2205838197 and 2205838206.

It is not an unprimeable number, because it can be changed into a prime (2205838241) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61273267 + ... + 61273302.

Almost surely, 22205838242 is an apocalyptic number.

2205838242 is an abundant number, since it is smaller than the sum of its proper divisors (2573477988).

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

2205838242 is a wasteful number, since it uses less digits than its factorization.

2205838242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122546577 (or 122546574 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2205838242 is about 46966.3522322098. The cubic root of 2205838242 is about 1301.7409105960.

The spelling of 2205838242 in words is "two billion, two hundred five million, eight hundred thirty-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 122546569 245093138 367639707 735279414 1102919121 2205838242