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22305105 = 335179719
BaseRepresentation
bin101010100010…
…1100101010001
31112222012212000
41111011211101
521202230410
62114024213
7360406314
oct125054521
945865760
1022305105
1111655179
127578069
13480c6b4
142d6897b
151e58dc0
hex1545951

22305105 has 32 divisors (see below), whose sum is σ = 41990400. Its totient is φ = 11195136.

The previous prime is 22305079. The next prime is 22305109. The reversal of 22305105 is 50150322.

It is a happy number.

It is not a de Polignac number, because 22305105 - 212 = 22301009 is a prime.

It is a super-2 number, since 2×223051052 = 995035418122050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22305109) 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 31 ways as a sum of consecutive naturals, for example, 2565 + ... + 7154.

It is an arithmetic number, because the mean of its divisors is an integer number (1312200).

Almost surely, 222305105 is an apocalyptic number.

It is an amenable number.

22305105 is a deficient number, since it is larger than the sum of its proper divisors (19685295).

22305105 is a wasteful number, since it uses less digits than its factorization.

22305105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9750 (or 9744 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 22305105 is about 4722.8280722465. The cubic root of 22305105 is about 281.4933183258.

Adding to 22305105 its reverse (50150322), we get a palindrome (72455427).

The spelling of 22305105 in words is "twenty-two million, three hundred five thousand, one hundred five".

Divisors: 1 3 5 9 15 17 27 45 51 85 135 153 255 459 765 2295 9719 29157 48595 87471 145785 165223 262413 437355 495669 826115 1312065 1487007 2478345 4461021 7435035 22305105