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22307965 = 55384181
BaseRepresentation
bin101010100011…
…0010001111101
31112222100202221
41111012101331
521202323330
62114045341
7360420541
oct125062175
945870687
1022307965
1111657339
127579851
134810aa4
142d69a21
151e59b7a
hex154647d

22307965 has 8 divisors (see below), whose sum is σ = 27274968. Its totient is φ = 17509440.

The previous prime is 22307947. The next prime is 22307969. The reversal of 22307965 is 56970322.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 11431161 + 10876804 = 3381^2 + 3298^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 22307965 - 27 = 22307837 is a prime.

It is a super-3 number, since 3×223079653 (a number of 23 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22307965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22307969) 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 7 ways as a sum of consecutive naturals, for example, 41826 + ... + 42355.

It is an arithmetic number, because the mean of its divisors is an integer number (3409371).

Almost surely, 222307965 is an apocalyptic number.

It is an amenable number.

22307965 is a deficient number, since it is larger than the sum of its proper divisors (4967003).

22307965 is an equidigital number, since it uses as much as digits as its factorization.

22307965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84239.

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 22307965 is about 4723.1308472241. The cubic root of 22307965 is about 281.5053490019.

The spelling of 22307965 in words is "twenty-two million, three hundred seven thousand, nine hundred sixty-five".

Divisors: 1 5 53 265 84181 420905 4461593 22307965