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2205833401 is a prime number
BaseRepresentation
bin1000001101111010…
…0101100010111001
312200201122221120101
42003132211202321
514004143132101
61002514355401
7105443163112
oct20336454271
95621587511
102205833401
11a32154312
1251688bb61
13291cc4885
1416cd59209
15cd9c0401
hex837a58b9

2205833401 has 2 divisors, whose sum is σ = 2205833402. Its totient is φ = 2205833400.

The previous prime is 2205833389. The next prime is 2205833407. The reversal of 2205833401 is 1043385022.

2205833401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1925103376 + 280730025 = 43876^2 + 16755^2 .

It is a cyclic number.

It is not a de Polignac number, because 2205833401 - 25 = 2205833369 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2205833401.

It is not a weakly prime, because it can be changed into another prime (2205833407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1102916700 + 1102916701.

It is an arithmetic number, because the mean of its divisors is an integer number (1102916701).

Almost surely, 22205833401 is an apocalyptic number.

It is an amenable number.

2205833401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2205833401 is an equidigital number, since it uses as much as digits as its factorization.

2205833401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2205833401 is about 46966.3006952858. The cubic root of 2205833401 is about 1301.7399583152.

The spelling of 2205833401 in words is "two billion, two hundred five million, eight hundred thirty-three thousand, four hundred one".