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11221144 = 2311294397
BaseRepresentation
bin101010110011…
…100010011000
3210010002111221
4222303202120
510333034034
61040301424
7164243464
oct52634230
923102457
1011221144
116374680
123911874
13242b63c
1416c14a4
15eb9bb4
hexab3898

11221144 has 32 divisors (see below), whose sum is σ = 23749200. Its totient is φ = 4923520.

The previous prime is 11221141. The next prime is 11221159. The reversal of 11221144 is 44112211.

It is a happy number.

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

It is a zygodrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11221141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 354 + ... + 4750.

Almost surely, 211221144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11221144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11874600).

11221144 is an abundant number, since it is smaller than the sum of its proper divisors (12528056).

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

11221144 is a wasteful number, since it uses less digits than its factorization.

11221144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4443 (or 4439 counting only the distinct ones).

The product of its digits is 64, while the sum is 16.

The square root of 11221144 is about 3349.7976058264. The cubic root of 11221144 is about 223.8784949028.

Adding to 11221144 its reverse (44112211), we get a palindrome (55333355).

It can be divided in two parts, 112211 and 44, that multiplied together give a square (4937284 = 22222).

The spelling of 11221144 in words is "eleven million, two hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 1276 2552 4397 8794 17588 35176 48367 96734 127513 193468 255026 386936 510052 1020104 1402643 2805286 5610572 11221144