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22442400191 is a prime number
BaseRepresentation
bin10100111001101010…
…111101100110111111
32010221001100001110002
4110321222331212333
5331430223301231
614150534304515
71423100153111
oct247152754677
963831301402
1022442400191
119577171482
124423ab813b
1321686ba753
14112c8213b1
158b53ba0cb
hex539abd9bf

22442400191 has 2 divisors, whose sum is σ = 22442400192. Its totient is φ = 22442400190.

The previous prime is 22442400187. The next prime is 22442400223. The reversal of 22442400191 is 19100424422.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 22442400191 - 22 = 22442400187 is a prime.

It is a super-2 number, since 2×224424001912 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22442400151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11221200095 + 11221200096.

It is an arithmetic number, because the mean of its divisors is an integer number (11221200096).

Almost surely, 222442400191 is an apocalyptic number.

22442400191 is a deficient number, since it is larger than the sum of its proper divisors (1).

22442400191 is an equidigital number, since it uses as much as digits as its factorization.

22442400191 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 29.

The spelling of 22442400191 in words is "twenty-two billion, four hundred forty-two million, four hundred thousand, one hundred ninety-one".