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11214333 = 3213273101
BaseRepresentation
bin101010110001…
…110111111101
3210002202011200
4222301313331
510332324313
61040210113
7164214564
oct52616775
923082150
1011214333
11636a549
123909939
132428500
1416bcbdb
15eb7b73
hexab1dfd

11214333 has 36 divisors (see below), whose sum is σ = 17956692. Its totient is φ = 6739200.

The previous prime is 11214311. The next prime is 11214337. The reversal of 11214333 is 33341211.

It can be written as a sum of positive squares in 6 ways, for example, as 45369 + 11168964 = 213^2 + 3342^2 .

It is not a de Polignac number, because 11214333 - 29 = 11213821 is a prime.

It is a super-2 number, since 2×112143332 = 251522529269778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11214337) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110983 + ... + 111083.

It is an arithmetic number, because the mean of its divisors is an integer number (498797).

Almost surely, 211214333 is an apocalyptic number.

11214333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11214333 is a deficient number, since it is larger than the sum of its proper divisors (6742359).

11214333 is a wasteful number, since it uses less digits than its factorization.

11214333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 11214333 is about 3348.7808229265. The cubic root of 11214333 is about 223.8331892118.

Adding to 11214333 its reverse (33341211), we get a palindrome (44555544).

The spelling of 11214333 in words is "eleven million, two hundred fourteen thousand, three hundred thirty-three".

Divisors: 1 3 9 13 39 73 101 117 169 219 303 507 657 909 949 1313 1521 2847 3939 7373 8541 11817 12337 17069 22119 37011 51207 66357 95849 111033 153621 287547 862641 1246037 3738111 11214333