Search a number
-
+
2202203329 is a prime number
BaseRepresentation
bin1000001101000010…
…1111010011000001
312200110211112001021
42003100233103001
514002231001304
61002304505441
7105400263604
oct20320572301
95613745037
102202203329
11a300a4a57
1251561b281
132913234c1
1416c69233b
15cd504a54
hex8342f4c1

2202203329 has 2 divisors, whose sum is σ = 2202203330. Its totient is φ = 2202203328.

The previous prime is 2202203291. The next prime is 2202203347. The reversal of 2202203329 is 9233022022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1262167729 + 940035600 = 35527^2 + 30660^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2202203329 is a prime.

It is not a weakly prime, because it can be changed into another prime (2202203359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1101101664 + 1101101665.

It is an arithmetic number, because the mean of its divisors is an integer number (1101101665).

Almost surely, 22202203329 is an apocalyptic number.

It is an amenable number.

2202203329 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202203329 is an equidigital number, since it uses as much as digits as its factorization.

2202203329 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 2202203329 is about 46927.6392864589. The cubic root of 2202203329 is about 1301.0254884769.

The spelling of 2202203329 in words is "two billion, two hundred two million, two hundred three thousand, three hundred twenty-nine".