Search a number
-
+
212244480 = 2113257247
BaseRepresentation
bin11001010011010…
…01100000000000
3112210101010200200
430221221200000
5413313310410
633021045200
75155022400
oct1451514000
9483333620
10212244480
11a9896468
125b0b6800
1334c83666
142028c800
15139773c0
hexca69800

212244480 has 432 divisors, whose sum is σ = 873905760. Its totient is φ = 47480832.

The previous prime is 212244463. The next prime is 212244491. The reversal of 212244480 is 84442212.

212244480 is a `hidden beast` number, since 212 + 2 + 4 + 448 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4515817 + ... + 4515863.

It is an arithmetic number, because the mean of its divisors is an integer number (2022930).

Almost surely, 2212244480 is an apocalyptic number.

212244480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212244480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436952880).

212244480 is an abundant number, since it is smaller than the sum of its proper divisors (661661280).

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

212244480 is a wasteful number, since it uses less digits than its factorization.

212244480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 212244480 is about 14568.6128371922. The cubic root of 212244480 is about 596.5023166388.

Adding to 212244480 its reverse (84442212), we get a palindrome (296686692).

The spelling of 212244480 in words is "two hundred twelve million, two hundred forty-four thousand, four hundred eighty".