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2205172841 is a prime number
BaseRepresentation
bin1000001101110000…
…0100010001101001
312200200102101110012
42003130010101221
514004011012331
61002452301305
7105434442224
oct20334042151
95620371405
102205172841
11a31842aa3
12516611835
13291b23001
1416cc265bb
15cd8de82b
hex83704469

2205172841 has 2 divisors, whose sum is σ = 2205172842. Its totient is φ = 2205172840.

The previous prime is 2205172807. The next prime is 2205172861. The reversal of 2205172841 is 1482715022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1195776400 + 1009396441 = 34580^2 + 31771^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2205172841 is a prime.

It is a super-3 number, since 3×22051728413 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 2205172798 and 2205172807.

It is not a weakly prime, because it can be changed into another prime (2205172861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1102586420 + 1102586421.

It is an arithmetic number, because the mean of its divisors is an integer number (1102586421).

Almost surely, 22205172841 is an apocalyptic number.

It is an amenable number.

2205172841 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205172841 is an equidigital number, since it uses as much as digits as its factorization.

2205172841 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 2205172841 is about 46959.2678925045. The cubic root of 2205172841 is about 1301.6100054376.

Adding to 2205172841 its reverse (1482715022), we get a palindrome (3687887863).

The spelling of 2205172841 in words is "two billion, two hundred five million, one hundred seventy-two thousand, eight hundred forty-one".