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22680333 = 32131491301
BaseRepresentation
bin101011010000…
…1001100001101
31120200021120100
41112201030031
521301232313
62130041313
7363531264
oct126411415
946607510
1022680333
1111891085
127719239
134911420
1430255db
151ed0173
hex15a130d

22680333 has 24 divisors (see below), whose sum is σ = 35544600. Its totient is φ = 13852800.

The previous prime is 22680299. The next prime is 22680341. The reversal of 22680333 is 33308622.

It can be written as a sum of positive squares in 4 ways, for example, as 3337929 + 19342404 = 1827^2 + 4398^2 .

It is not a de Polignac number, because 22680333 - 29 = 22679821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 22680297 and 22680306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22680373) 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 23 ways as a sum of consecutive naturals, for example, 16783 + ... + 18083.

It is an arithmetic number, because the mean of its divisors is an integer number (1481025).

Almost surely, 222680333 is an apocalyptic number.

It is an amenable number.

22680333 is a deficient number, since it is larger than the sum of its proper divisors (12864267).

22680333 is a wasteful number, since it uses less digits than its factorization.

22680333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1469 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 22680333 is about 4762.3873215017. The cubic root of 22680333 is about 283.0630241668.

Adding to 22680333 its reverse (33308622), we get a palindrome (55988955).

It can be divided in two parts, 2268033 and 3, that added together give a square (2268036 = 15062).

The spelling of 22680333 in words is "twenty-two million, six hundred eighty thousand, three hundred thirty-three".

Divisors: 1 3 9 13 39 117 149 447 1301 1341 1937 3903 5811 11709 16913 17433 50739 152217 193849 581547 1744641 2520037 7560111 22680333