Search a number
-
+
11221332 = 22323109373
BaseRepresentation
bin101010110011…
…100101010100
3210010002202220
4222303211110
510333040312
61040302340
7164244153
oct52634524
923102686
1011221332
116374831
1239119b0
13242b755
1416c159a
15eb9c8c
hexab3954

11221332 has 48 divisors (see below), whose sum is σ = 27646080. Its totient is φ = 3535488.

The previous prime is 11221307. The next prime is 11221333. The reversal of 11221332 is 23312211.

11221332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29898 + ... + 30270.

It is an arithmetic number, because the mean of its divisors is an integer number (575960).

Almost surely, 211221332 is an apocalyptic number.

11221332 is a gapful number since it is divisible by the number (12) 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 11221332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13823040).

11221332 is an abundant number, since it is smaller than the sum of its proper divisors (16424748).

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

11221332 is a wasteful number, since it uses less digits than its factorization.

11221332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 510 counting only the distinct ones).

The product of its digits is 72, while the sum is 15.

The square root of 11221332 is about 3349.8256671057. The cubic root of 11221332 is about 223.8797451889.

Adding to 11221332 its reverse (23312211), we get a palindrome (34533543).

The spelling of 11221332 in words is "eleven million, two hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 109 138 218 276 327 373 436 654 746 1119 1308 1492 2238 2507 4476 5014 7521 8579 10028 15042 17158 25737 30084 34316 40657 51474 81314 102948 121971 162628 243942 487884 935111 1870222 2805333 3740444 5610666 11221332