Search a number
-
+
212335104 = 293138239
BaseRepresentation
bin11001010011111…
…11101000000000
3112210112202000010
430221333220000
5413324210404
633023024520
75155550532
oct1451775000
9483482003
10212335104
11a9948563
125b13b140
1334cb5997
14202b3852
1513994189
hexca7fa00

212335104 has 40 divisors (see below), whose sum is σ = 565678080. Its totient is φ = 70777856.

The previous prime is 212335091. The next prime is 212335111. The reversal of 212335104 is 401533212.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 67584 + ... + 70655.

It is an arithmetic number, because the mean of its divisors is an integer number (14141952).

Almost surely, 2212335104 is an apocalyptic number.

212335104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212335104 is an abundant number, since it is smaller than the sum of its proper divisors (353342976).

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

212335104 is an equidigital number, since it uses as much as digits as its factorization.

212335104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138260 (or 138244 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 212335104 is about 14571.7227533329. The cubic root of 212335104 is about 596.5872026061.

Adding to 212335104 its reverse (401533212), we get a palindrome (613868316).

The spelling of 212335104 in words is "two hundred twelve million, three hundred thirty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 138239 276478 414717 552956 829434 1105912 1658868 2211824 3317736 4423648 6635472 8847296 13270944 17694592 26541888 35389184 53083776 70778368 106167552 212335104