Search a number
-
+
213824831 = 1120819341
BaseRepresentation
bin11001011111010…
…11010100111111
3112220100102112012
430233223110333
5414214343311
633115001435
75204324003
oct1457532477
9486312465
10213824831
11aa775840
125b73927b
13353b7a8c
1420580703
1513b8a78b
hexcbeb53f

213824831 has 8 divisors (see below), whose sum is σ = 233400528. Its totient is φ = 194272000.

The previous prime is 213824789. The next prime is 213824833. The reversal of 213824831 is 138428312.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-213824831 is a prime.

It is a super-2 number, since 2×2138248312 = 91442116704357122, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213824833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18221 + ... + 27561.

It is an arithmetic number, because the mean of its divisors is an integer number (29175066).

Almost surely, 2213824831 is an apocalyptic number.

213824831 is a deficient number, since it is larger than the sum of its proper divisors (19575697).

213824831 is a wasteful number, since it uses less digits than its factorization.

213824831 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11433.

The product of its digits is 9216, while the sum is 32.

The square root of 213824831 is about 14622.7504594724. The cubic root of 213824831 is about 597.9791559197.

The spelling of 213824831 in words is "two hundred thirteen million, eight hundred twenty-four thousand, eight hundred thirty-one".

Divisors: 1 11 2081 9341 22891 102751 19438621 213824831