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2208829993 is a prime number
BaseRepresentation
bin1000001110101000…
…0001001000101001
312200221022012010021
42003222001020221
514010430024433
61003102520441
7105510513406
oct20352011051
95627265107
102208829993
11a33910737
12517896121
132928037c6
1416d4d92ad
15cddb322d
hex83a81229

2208829993 has 2 divisors, whose sum is σ = 2208829994. Its totient is φ = 2208829992.

The previous prime is 2208829969. The next prime is 2208830021. The reversal of 2208829993 is 3999288022.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1770053184 + 438776809 = 42072^2 + 20947^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2208829993 is a prime.

It is a super-3 number, since 3×22088299933 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2208829993.

It is not a weakly prime, because it can be changed into another prime (2208829913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1104414996 + 1104414997.

It is an arithmetic number, because the mean of its divisors is an integer number (1104414997).

Almost surely, 22208829993 is an apocalyptic number.

It is an amenable number.

2208829993 is a deficient number, since it is larger than the sum of its proper divisors (1).

2208829993 is an equidigital number, since it uses as much as digits as its factorization.

2208829993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1119744, while the sum is 52.

The square root of 2208829993 is about 46998.1913800946. The cubic root of 2208829993 is about 1302.3291564069.

The spelling of 2208829993 in words is "two billion, two hundred eight million, eight hundred twenty-nine thousand, nine hundred ninety-three".