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11122144 = 2511191663
BaseRepresentation
bin101010011011…
…010111100000
3202221001201021
4222123113200
510321402034
61034215224
7163352035
oct52332740
922831637
1011122144
116307260
123884514
1323c5567
14169738c
15e9a6b4
hexa9b5e0

11122144 has 48 divisors (see below), whose sum is σ = 25159680. Its totient is φ = 4786560.

The previous prime is 11122141. The next prime is 11122171. The reversal of 11122144 is 44122111.

It is a happy number.

11122144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 (11122141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5857 + ... + 7519.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 211122144 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 11122144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840).

11122144 is an abundant number, since it is smaller than the sum of its proper divisors (14037536).

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

11122144 is a wasteful number, since it uses less digits than its factorization.

11122144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1695 counting only the distinct ones).

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

The square root of 11122144 is about 3334.9878560499. The cubic root of 11122144 is about 223.2181500552.

Adding to 11122144 its reverse (44122111), we get a palindrome (55244255).

The spelling of 11122144 in words is "eleven million, one hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1663 1672 3326 3344 6652 6688 13304 18293 26608 31597 36586 53216 63194 73172 126388 146344 252776 292688 347567 505552 585376 695134 1011104 1390268 2780536 5561072 11122144