Search a number
-
+
2221029961 is a prime number
BaseRepresentation
bin1000010001100010…
…0011101001001001
312201210021000022221
42010120203221021
514022040424321
61004220214041
7106016305003
oct20430435111
95653230287
102221029961
11a3a793757
1251b99a321
132951b5817
14170d93373
15ceec2e41
hex84623a49

2221029961 has 2 divisors, whose sum is σ = 2221029962. Its totient is φ = 2221029960.

The previous prime is 2221029959. The next prime is 2221030033. The reversal of 2221029961 is 1699201222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2166343936 + 54686025 = 46544^2 + 7395^2 .

It is a cyclic number.

It is not a de Polignac number, because 2221029961 - 21 = 2221029959 is a prime.

Together with 2221029959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2221029761) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1110514980 + 1110514981.

It is an arithmetic number, because the mean of its divisors is an integer number (1110514981).

Almost surely, 22221029961 is an apocalyptic number.

It is an amenable number.

2221029961 is a deficient number, since it is larger than the sum of its proper divisors (1).

2221029961 is an equidigital number, since it uses as much as digits as its factorization.

2221029961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 2221029961 is about 47127.8045425416. The cubic root of 2221029961 is about 1304.7224613962.

The spelling of 2221029961 in words is "two billion, two hundred twenty-one million, twenty-nine thousand, nine hundred sixty-one".