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200314422 = 2327111131279
BaseRepresentation
bin10111111000010…
…00111000110110
3111221221000201200
423330020320312
5402240030142
631513233330
74651434030
oct1374107066
9457830650
10200314422
11a3088210
1257102846
1332667459
141c864c50
15128bc64c
hexbf08e36

200314422 has 96 divisors (see below), whose sum is σ = 546324480. Its totient is φ = 51528960.

The previous prime is 200314421. The next prime is 200314427. The reversal of 200314422 is 224413002.

200314422 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2003144222 = 80251735322388168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 200314395 and 200314404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200314421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155979 + ... + 157257.

It is an arithmetic number, because the mean of its divisors is an integer number (5690880).

Almost surely, 2200314422 is an apocalyptic number.

200314422 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 200314422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273162240).

200314422 is an abundant number, since it is smaller than the sum of its proper divisors (346010058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

200314422 is a wasteful number, since it uses less digits than its factorization.

200314422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 200314422 is about 14153.2477544908. The cubic root of 200314422 is about 585.1098456890.

Adding to 200314422 its reverse (224413002), we get a palindrome (424727424).

The spelling of 200314422 in words is "two hundred million, three hundred fourteen thousand, four hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 113 126 154 198 226 231 339 462 678 693 791 1017 1243 1279 1386 1582 2034 2373 2486 2558 3729 3837 4746 7119 7458 7674 8701 8953 11187 11511 14069 14238 17402 17906 22374 23022 26103 26859 28138 42207 52206 53718 78309 80577 84414 98483 126621 144527 156618 161154 196966 253242 289054 295449 433581 590898 867162 886347 1011689 1300743 1589797 1772694 2023378 2601486 3035067 3179594 4769391 6070134 9105201 9538782 11128579 14308173 18210402 22257158 28616346 33385737 66771474 100157211 200314422