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22456413 = 337131907
BaseRepresentation
bin101010110101…
…0100001011101
31120020220102000
41111222201131
521222101123
62121152513
7361606410
oct125524135
946226360
1022456413
1111748921
12762b739
134863525
142da7b77
151e88b43
hex156a85d

22456413 has 32 divisors (see below), whose sum is σ = 38353920. Its totient is φ = 12720240.

The previous prime is 22456351. The next prime is 22456417. The reversal of 22456413 is 31465422.

22456413 is a `hidden beast` number, since 2 + 245 + 6 + 413 = 666.

It is a de Polignac number, because none of the positive numbers 2k-22456413 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22456417) 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 31 ways as a sum of consecutive naturals, for example, 24306 + ... + 25212.

It is an arithmetic number, because the mean of its divisors is an integer number (1198560).

Almost surely, 222456413 is an apocalyptic number.

It is an amenable number.

22456413 is a deficient number, since it is larger than the sum of its proper divisors (15897507).

22456413 is a wasteful number, since it uses less digits than its factorization.

22456413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1048 counting only the distinct ones).

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

The square root of 22456413 is about 4738.8197897789. The cubic root of 22456413 is about 282.1283933224.

Subtracting 22456413 from its reverse (31465422), we obtain a palindrome (9009009).

The spelling of 22456413 in words is "twenty-two million, four hundred fifty-six thousand, four hundred thirteen".

Divisors: 1 3 7 9 21 27 63 131 189 393 907 917 1179 2721 2751 3537 6349 8163 8253 19047 24489 24759 57141 118817 171423 356451 831719 1069353 2495157 3208059 7485471 22456413