Search a number
-
+
211742412 = 223717148279
BaseRepresentation
bin11001001111011…
…10111011001100
3112202102121222120
430213232323030
5413201224122
633002212540
75150531550
oct1447567314
9482377876
10211742412
11a9583232
125aab4150
1334b38c8b
142019b860
15138c875c
hexc9eeecc

211742412 has 48 divisors (see below), whose sum is σ = 597864960. Its totient is φ = 56938752.

The previous prime is 211742411. The next prime is 211742459. The reversal of 211742412 is 214247112.

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

It is not an unprimeable number, because it can be changed into a prime (211742411) 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 15 ways as a sum of consecutive naturals, for example, 72712 + ... + 75567.

It is an arithmetic number, because the mean of its divisors is an integer number (12455520).

Almost surely, 2211742412 is an apocalyptic number.

It is an amenable number.

211742412 is an abundant number, since it is smaller than the sum of its proper divisors (386122548).

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

211742412 is a wasteful number, since it uses less digits than its factorization.

211742412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148310 (or 148308 counting only the distinct ones).

The product of its digits is 896, while the sum is 24.

The square root of 211742412 is about 14551.3714817539. The cubic root of 211742412 is about 596.0315997539.

Adding to 211742412 its reverse (214247112), we get a palindrome (425989524).

The spelling of 211742412 in words is "two hundred eleven million, seven hundred forty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 148279 296558 444837 593116 889674 1037953 1779348 2075906 2520743 3113859 4151812 5041486 6227718 7562229 10082972 12455436 15124458 17645201 30248916 35290402 52935603 70580804 105871206 211742412