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12422345 = 513261241
BaseRepresentation
bin101111011000…
…110011001001
3212101010020212
4233120303021
511140003340
61122130505
7210405515
oct57306311
925333225
1012422345
117015101
1241b0a35
13275c300
141915145
151155a65
hexbd8cc9

12422345 has 24 divisors (see below), whose sum is σ = 16474392. Its totient is φ = 8985600.

The previous prime is 12422341. The next prime is 12422363. The reversal of 12422345 is 54322421.

It is a happy number.

12422345 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 9066121 + 3356224 = 3011^2 + 1832^2 .

It is not a de Polignac number, because 12422345 - 22 = 12422341 is a prime.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (1920) is a multiple of the sum of its prime divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 12422345.

It is not an unprimeable number, because it can be changed into a prime (12422341) 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 23 ways as a sum of consecutive naturals, for example, 51425 + ... + 51665.

It is an arithmetic number, because the mean of its divisors is an integer number (686433).

Almost surely, 212422345 is an apocalyptic number.

It is an amenable number.

12422345 is a deficient number, since it is larger than the sum of its proper divisors (4052047).

12422345 is a wasteful number, since it uses less digits than its factorization.

12422345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 320 counting only the distinct ones).

The product of its digits is 1920, while the sum is 23.

The square root of 12422345 is about 3524.5347210660. The cubic root of 12422345 is about 231.5978529177.

Adding to 12422345 its reverse (54322421), we get a palindrome (66744766).

The spelling of 12422345 in words is "twelve million, four hundred twenty-two thousand, three hundred forty-five".

Divisors: 1 5 13 61 65 169 241 305 793 845 1205 3133 3965 10309 14701 15665 40729 51545 73505 191113 203645 955565 2484469 12422345