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22456341 = 322495149
BaseRepresentation
bin101010110101…
…0100000010101
31120020220022100
41111222200111
521222100331
62121152313
7361606245
oct125524025
946226270
1022456341
1111748866
12762b699
13486349b
142da7b25
151e88ae6
hex156a815

22456341 has 6 divisors (see below), whose sum is σ = 32436950. Its totient is φ = 14970888.

The previous prime is 22456339. The next prime is 22456351. The reversal of 22456341 is 14365422.

22456341 is a `hidden beast` number, since 2 + 24 + 5 + 634 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 17189316 + 5267025 = 4146^2 + 2295^2 .

It is not a de Polignac number, because 22456341 - 21 = 22456339 is a prime.

It is a super-3 number, since 3×224563413 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22456321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1247566 + ... + 1247583.

Almost surely, 222456341 is an apocalyptic number.

It is an amenable number.

22456341 is a deficient number, since it is larger than the sum of its proper divisors (9980609).

22456341 is a wasteful number, since it uses less digits than its factorization.

22456341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495155 (or 2495152 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 22456341 is about 4738.8121929446. The cubic root of 22456341 is about 282.1280918010.

It can be divided in two parts, 224 and 56341, that added together give a palindrome (56565).

The spelling of 22456341 in words is "twenty-two million, four hundred fifty-six thousand, three hundred forty-one".

Divisors: 1 3 9 2495149 7485447 22456341