Search a number
-
+
212424434244 = 22321189103163359
BaseRepresentation
bin1100010111010101111…
…0111010001001000100
3202022022020001100011200
43011311132322021010
511440021123343434
6241330400502500
721230034620241
oct3056536721104
9668266040150
10212424434244
11820a8067580
123520461aa30
131705439bb09
14a3d22245c8
1557d40d3199
hex31757ba244

212424434244 has 288 divisors, whose sum is σ = 603454924800. Its totient is φ = 62468651520.

The previous prime is 212424434227. The next prime is 212424434281. The reversal of 212424434244 is 442434424212.

212424434244 is a `hidden beast` number, since 212 + 4 + 2 + 4 + 434 + 2 + 4 + 4 = 666.

212424434244 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 212424434199 and 212424434208.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 591711337 + ... + 591711695.

It is an arithmetic number, because the mean of its divisors is an integer number (2095329600).

Almost surely, 2212424434244 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 212424434244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301727462400).

212424434244 is an abundant number, since it is smaller than the sum of its proper divisors (391030490556).

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

212424434244 is a wasteful number, since it uses less digits than its factorization.

212424434244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 730 counting only the distinct ones).

The product of its digits is 196608, while the sum is 36.

Adding to 212424434244 its reverse (442434424212), we get a palindrome (654858858456).

The spelling of 212424434244 in words is "two hundred twelve billion, four hundred twenty-four million, four hundred thirty-four thousand, two hundred forty-four".