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22456225 = 5211372207
BaseRepresentation
bin101010110101…
…0011110100001
31120020220011001
41111222132201
521222044400
62121152001
7361606021
oct125523641
946226131
1022456225
1111748770
12762b601
13486340c
142da7a81
151e88a6a
hex156a7a1

22456225 has 24 divisors (see below), whose sum is σ = 31212288. Its totient is φ = 15883200.

The previous prime is 22456223. The next prime is 22456229. The reversal of 22456225 is 52265422.

It is not a de Polignac number, because 22456225 - 21 = 22456223 is a prime.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22456193 and 22456202.

It is not an unprimeable number, because it can be changed into a prime (22456223) 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, 9072 + ... + 11278.

It is an arithmetic number, because the mean of its divisors is an integer number (1300512).

Almost surely, 222456225 is an apocalyptic number.

22456225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22456225 is a deficient number, since it is larger than the sum of its proper divisors (8756063).

22456225 is a wasteful number, since it uses less digits than its factorization.

22456225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2260 counting only the distinct ones).

The product of its digits is 9600, while the sum is 28.

The square root of 22456225 is about 4738.7999535747. The cubic root of 22456225 is about 282.1276060152.

The spelling of 22456225 in words is "twenty-two million, four hundred fifty-six thousand, two hundred twenty-five".

Divisors: 1 5 11 25 37 55 185 275 407 925 2035 2207 10175 11035 24277 55175 81659 121385 408295 606925 898249 2041475 4491245 22456225