Search a number
-
+
2202244129 is a prime number
BaseRepresentation
bin1000001101000011…
…1001010000100001
312200110220121000101
42003100321100201
514002233303004
61002305422401
7105400523551
oct20320712041
95613817011
102202244129
11a30122678
1251563aa01
13291338c47
1416c6a3161
15cd511ba4
hex83439421

2202244129 has 2 divisors, whose sum is σ = 2202244130. Its totient is φ = 2202244128.

The previous prime is 2202244117. The next prime is 2202244139. The reversal of 2202244129 is 9214422022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2199610000 + 2634129 = 46900^2 + 1623^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2202244129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2202244097 and 2202244106.

It is not a weakly prime, because it can be changed into another prime (2202244139) 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, 1101122064 + 1101122065.

It is an arithmetic number, because the mean of its divisors is an integer number (1101122065).

Almost surely, 22202244129 is an apocalyptic number.

It is an amenable number.

2202244129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2202244129 is an equidigital number, since it uses as much as digits as its factorization.

2202244129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 2202244129 is about 46928.0739962765. The cubic root of 2202244129 is about 1301.0335230835.

The spelling of 2202244129 in words is "two billion, two hundred two million, two hundred forty-four thousand, one hundred twenty-nine".