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22142401 = 31223041
BaseRepresentation
bin101010001110…
…1110111000001
31112122221122221
41110131313001
521132024101
62110331041
7356131051
oct124356701
945587587
1022142401
1111553a06
1274b9a81
134783618
142d25561
151e25aa1
hex151ddc1

22142401 has 6 divisors (see below), whose sum is σ = 22880706. Its totient is φ = 21427200.

The previous prime is 22142387. The next prime is 22142411. The reversal of 22142401 is 10424122.

It can be written as a sum of positive squares in only one way, i.e., 15992001 + 6150400 = 3999^2 + 2480^2 .

It is not a de Polignac number, because 22142401 - 211 = 22140353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22142411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10560 + ... + 12481.

It is an arithmetic number, because the mean of its divisors is an integer number (3813451).

Almost surely, 222142401 is an apocalyptic number.

It is an amenable number.

22142401 is a deficient number, since it is larger than the sum of its proper divisors (738305).

22142401 is an equidigital number, since it uses as much as digits as its factorization.

22142401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23103 (or 23072 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 22142401 is about 4705.5712724387. The cubic root of 22142401 is about 280.8071987897.

Adding to 22142401 its reverse (10424122), we get a palindrome (32566523).

The spelling of 22142401 in words is "twenty-two million, one hundred forty-two thousand, four hundred one".

Divisors: 1 31 961 23041 714271 22142401