Search a number
-
+
214385766 = 2375104423
BaseRepresentation
bin11001100011101…
…00010001100110
3112221101220222120
430301310101212
5414340321031
633135010410
75212151250
oct1461642146
9487356876
10214385766
11100019221
125b969a06
13355531aa
1420688cd0
1513c4ba96
hexcc74466

214385766 has 16 divisors (see below), whose sum is σ = 490024704. Its totient is φ = 61253064.

The previous prime is 214385713. The next prime is 214385767. The reversal of 214385766 is 667583412.

It is a super-2 number, since 2×2143857662 = 91922513326813512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42), and also a Moran number because the ratio is a prime number: 5104423 = 214385766 / (2 + 1 + 4 + 3 + 8 + 5 + 7 + 6 + 6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214385767) 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, 2552170 + ... + 2552253.

It is an arithmetic number, because the mean of its divisors is an integer number (30626544).

Almost surely, 2214385766 is an apocalyptic number.

214385766 is an abundant number, since it is smaller than the sum of its proper divisors (275638938).

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

214385766 is a wasteful number, since it uses less digits than its factorization.

214385766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104435.

The product of its digits is 241920, while the sum is 42.

The square root of 214385766 is about 14641.9181120508. The cubic root of 214385766 is about 598.5015999996.

The spelling of 214385766 in words is "two hundred fourteen million, three hundred eighty-five thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 14 21 42 5104423 10208846 15313269 30626538 35730961 71461922 107192883 214385766