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11444224 = 21311127
BaseRepresentation
bin101011101010…
…000000000000
3210112102112011
4223222000000
510412203344
61045142304
7166163041
oct53520000
923472464
1011444224
116507240
1239ba994
1324a903c
14173c8c8
151010d34
hexaea000

11444224 has 56 divisors (see below), whose sum is σ = 25164288. Its totient is φ = 5160960.

The previous prime is 11444197. The next prime is 11444263. The reversal of 11444224 is 42244411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11444195 and 11444204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 90049 + ... + 90175.

Almost surely, 211444224 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 11444224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12582144).

11444224 is an abundant number, since it is smaller than the sum of its proper divisors (13720064).

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

11444224 is an equidigital number, since it uses as much as digits as its factorization.

11444224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 140 counting only the distinct ones).

The product of its digits is 1024, while the sum is 22.

The square root of 11444224 is about 3382.9312733190. The cubic root of 11444224 is about 225.3523631171.

Adding to 11444224 its reverse (42244411), we get a palindrome (53688635).

The spelling of 11444224 in words is "eleven million, four hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 128 176 254 256 352 508 512 704 1016 1024 1397 1408 2032 2048 2794 2816 4064 4096 5588 5632 8128 8192 11176 11264 16256 22352 22528 32512 44704 45056 65024 89408 90112 130048 178816 260096 357632 520192 715264 1040384 1430528 2861056 5722112 11444224