Search a number
-
+
212335032 = 2337213171943
BaseRepresentation
bin11001010011111…
…11100110111000
3112210112201220110
430221333212320
5413324210112
633023024320
75155550400
oct1451774670
9483481813
10212335032
11a99484a8
125b13b0a0
1334cb5940
14202b3800
151399413c
hexca7f9b8

212335032 has 384 divisors, whose sum is σ = 758419200. Its totient is φ = 48771072.

The previous prime is 212335031. The next prime is 212335061. The reversal of 212335032 is 230533212.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212335031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4938003 + ... + 4938045.

It is an arithmetic number, because the mean of its divisors is an integer number (1975050).

Almost surely, 2212335032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212335032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379209600).

212335032 is an abundant number, since it is smaller than the sum of its proper divisors (546084168).

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

212335032 is a wasteful number, since it uses less digits than its factorization.

212335032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 212335032 is about 14571.7202827943. The cubic root of 212335032 is about 596.5871351745.

Adding to 212335032 its reverse (230533212), we get a palindrome (442868244).

The spelling of 212335032 in words is "two hundred twelve million, three hundred thirty-five thousand, thirty-two".