Search a number
-
+
2202022129 is a prime number
BaseRepresentation
bin1000001101000000…
…0011000011110001
312200110111022111011
42003100003003301
514002204202004
61002300550521
7105365610406
oct20320030361
95613438434
102202022129
11a2aa908aa
12515552441
1329128bb98
1416c6462ad
15cd4bb004
hex834030f1

2202022129 has 2 divisors, whose sum is σ = 2202022130. Its totient is φ = 2202022128.

The previous prime is 2202022117. The next prime is 2202022133. The reversal of 2202022129 is 9212202022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2118116529 + 83905600 = 46023^2 + 9160^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2202022129 is a prime.

It is not a weakly prime, because it can be changed into another prime (2202023129) 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, 1101011064 + 1101011065.

It is an arithmetic number, because the mean of its divisors is an integer number (1101011065).

Almost surely, 22202022129 is an apocalyptic number.

It is an amenable number.

2202022129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202022129 is an equidigital number, since it uses as much as digits as its factorization.

2202022129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 2202022129 is about 46925.7086147881. The cubic root of 2202022129 is about 1300.9898041721.

The spelling of 2202022129 in words is "two billion, two hundred two million, twenty-two thousand, one hundred twenty-nine".