Search a number
-
+
212336640 = 219345
BaseRepresentation
bin11001010100000…
…00000000000000
3112210112211010000
430222000000000
5413324233030
633023040000
75155555155
oct1452000000
9483484100
10212336640
11a994972a
125b140000
1334cb65a9
14202b422c
1513994860
hexca80000

212336640 has 200 divisors, whose sum is σ = 761265450. Its totient is φ = 56623104.

The previous prime is 212336617. The next prime is 212336651. The reversal of 212336640 is 46633212.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (4!)2 ⋅ (2!)9.

212336640 is a `hidden beast` number, since 2 + 12 + 3 + 3 + 6 + 640 = 666.

It can be written as a sum of positive squares in only one way, i.e., 191102976 + 21233664 = 13824^2 + 4608^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 42467326 + ... + 42467330.

Almost surely, 2212336640 is an apocalyptic number.

212336640 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 212336640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380632725).

212336640 is an abundant number, since it is smaller than the sum of its proper divisors (548928810).

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

212336640 is an frugal number, since it uses more digits than its factorization.

212336640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 212336640 is about 14571.7754580559. The cubic root of 212336640 is about 596.5886411431.

Adding to 212336640 its reverse (46633212), we get a palindrome (258969852).

The spelling of 212336640 in words is "two hundred twelve million, three hundred thirty-six thousand, six hundred forty".