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22402433432801 is a prime number
BaseRepresentation
bin1010001011111111110010…
…00101100011110011100001
32221022122121002210220212102
411011333321011203303201
510414020140424322201
6115351311424140145
74501344120201152
oct505777105436341
987278532726772
1022402433432801
117157900708304
1226198a9767655
13c667043796b6
145763d8153929
1528cb131d926b
hex145ff9163ce1

22402433432801 has 2 divisors, whose sum is σ = 22402433432802. Its totient is φ = 22402433432800.

The previous prime is 22402433432719. The next prime is 22402433432803. The reversal of 22402433432801 is 10823433420422.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22190694490000 + 211738942801 = 4710700^2 + 460151^2 .

It is a cyclic number.

It is not a de Polignac number, because 22402433432801 - 214 = 22402433416417 is a prime.

It is a super-2 number, since 2×224024334328012 (a number of 28 digits) contains 22 as substring.

Together with 22402433432803, 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 (22402433432803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11201216716400 + 11201216716401.

It is an arithmetic number, because the mean of its divisors is an integer number (11201216716401).

Almost surely, 222402433432801 is an apocalyptic number.

It is an amenable number.

22402433432801 is a deficient number, since it is larger than the sum of its proper divisors (1).

22402433432801 is an equidigital number, since it uses as much as digits as its factorization.

22402433432801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 221184, while the sum is 38.

The spelling of 22402433432801 in words is "twenty-two trillion, four hundred two billion, four hundred thirty-three million, four hundred thirty-two thousand, eight hundred one".