Search a number
-
+
2022148769 is a prime number
BaseRepresentation
bin111100010000111…
…1000101010100001
312012221000210121212
41320201320222201
513120132230034
6532353355505
7101052660314
oct17041705241
95187023555
102022148769
119484a5333
12485268b95
13262c30844
141527c297b
15bc7da2ce
hex78878aa1

2022148769 has 2 divisors, whose sum is σ = 2022148770. Its totient is φ = 2022148768.

The previous prime is 2022148729. The next prime is 2022148771. The reversal of 2022148769 is 9678412202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2007040000 + 15108769 = 44800^2 + 3887^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022148769 - 224 = 2005371553 is a prime.

It is a super-2 number, since 2×20221487692 = 8178171287936430722, which contains 22 as substring.

Together with 2022148771, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2022148729) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011074384 + 1011074385.

It is an arithmetic number, because the mean of its divisors is an integer number (1011074385).

Almost surely, 22022148769 is an apocalyptic number.

It is an amenable number.

2022148769 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022148769 is an equidigital number, since it uses as much as digits as its factorization.

2022148769 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 2022148769 is about 44968.3084960953. The cubic root of 2022148769 is about 1264.5549359969.

The spelling of 2022148769 in words is "two billion, twenty-two million, one hundred forty-eight thousand, seven hundred sixty-nine".