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2022416401 is a prime number
BaseRepresentation
bin111100010001011…
…1010000000010001
312012221112101202011
41320202322000101
513120214311101
6532403222521
7101055153505
oct17042720021
95187471664
102022416401
11948668415
12485377a41
13262cc55c5
14152852305
15bc83e751
hex788ba011

2022416401 has 2 divisors, whose sum is σ = 2022416402. Its totient is φ = 2022416400.

The previous prime is 2022416399. The next prime is 2022416423. The reversal of 2022416401 is 1046142202.

2022416401 = 317992 + 318002.

It is a happy number.

It is an a-pointer prime, because the next prime (2022416423) can be obtained adding 2022416401 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1011240000 + 1011176401 = 31800^2 + 31799^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022416401 - 21 = 2022416399 is a prime.

Together with 2022416399, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2022416801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011208200 + 1011208201.

It is an arithmetic number, because the mean of its divisors is an integer number (1011208201).

Almost surely, 22022416401 is an apocalyptic number.

2022416401 is the 31800-th centered square number.

It is an amenable number.

2022416401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022416401 is an equidigital number, since it uses as much as digits as its factorization.

2022416401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2022416401 is about 44971.2841822423. The cubic root of 2022416401 is about 1264.6107216118.

Adding to 2022416401 its reverse (1046142202), we get a palindrome (3068558603).

The spelling of 2022416401 in words is "two billion, twenty-two million, four hundred sixteen thousand, four hundred one".